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Finding the Fourth Proportional to 98,354,282.73, 135,740,812.05 and 55,978,145.25

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Solution

The fourth proportional to 98,354,282.73, 135,740,812.05 and 55,978,145.25 is: 77,256,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,354,282.73 : 135,740,812.05 = 55,978,145.25 : x
  2. Step 2: Convert to fraction form
    98,354,282.73/135,740,812.05 = 55,978,145.25/x
  3. Step 3: Cross multiply
    98,354,282.73x = 135,740,812.05 × 55,978,145.25
  4. Step 4: Simplify right side
    98,354,282.73x = 7,598,518,893,287,851
  5. Step 5: Solve for x
    x = 7,598,518,893,287,851/98,354,282.73
  6. Step 6: Final answer
    x = 77,256,614.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.