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Finding the Fourth Proportional to 98,975.40, 148,451.22 and 27,903.40

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Solution

The fourth proportional to 98,975.40, 148,451.22 and 27,903.40 is: 41,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,975.40 : 148,451.22 = 27,903.40 : x
  2. Step 2: Convert to fraction form
    98,975.40/148,451.22 = 27,903.40/x
  3. Step 3: Cross multiply
    98,975.40x = 148,451.22 × 27,903.40
  4. Step 4: Simplify right side
    98,975.40x = 4,142,293,772.15
  5. Step 5: Solve for x
    x = 4,142,293,772.15/98,975.40
  6. Step 6: Final answer
    x = 41,851.75

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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.