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Finding the Fourth Proportional to 239,957.34, 359,955.14 and 82,187.16

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Solution

The fourth proportional to 239,957.34, 359,955.14 and 82,187.16 is: 123,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,957.34 : 359,955.14 = 82,187.16 : x
  2. Step 2: Convert to fraction form
    239,957.34/359,955.14 = 82,187.16/x
  3. Step 3: Cross multiply
    239,957.34x = 359,955.14 × 82,187.16
  4. Step 4: Simplify right side
    239,957.34x = 29,583,689,385.54
  5. Step 5: Solve for x
    x = 29,583,689,385.54/239,957.34
  6. Step 6: Final answer
    x = 123,287.29

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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.