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Finding the Fourth Proportional to 157,533.90, 236,053.17 and 98,280.78

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Solution

The fourth proportional to 157,533.90, 236,053.17 and 98,280.78 is: 147,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,533.90 : 236,053.17 = 98,280.78 : x
  2. Step 2: Convert to fraction form
    157,533.90/236,053.17 = 98,280.78/x
  3. Step 3: Cross multiply
    157,533.90x = 236,053.17 × 98,280.78
  4. Step 4: Simplify right side
    157,533.90x = 23,199,489,669.07
  5. Step 5: Solve for x
    x = 23,199,489,669.07/157,533.90
  6. Step 6: Final answer
    x = 147,266.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.