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Finding the Fourth Proportional to 183,397.52, 275,097.31 and 83,487.84

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Solution

The fourth proportional to 183,397.52, 275,097.31 and 83,487.84 is: 125,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,397.52 : 275,097.31 = 83,487.84 : x
  2. Step 2: Convert to fraction form
    183,397.52/275,097.31 = 83,487.84/x
  3. Step 3: Cross multiply
    183,397.52x = 275,097.31 × 83,487.84
  4. Step 4: Simplify right side
    183,397.52x = 22,967,280,201.71
  5. Step 5: Solve for x
    x = 22,967,280,201.71/183,397.52
  6. Step 6: Final answer
    x = 125,232.23

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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.