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Finding the Fourth Proportional to 252,129.60, 347,998.14 and 156,708.36

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Solution

The fourth proportional to 252,129.60, 347,998.14 and 156,708.36 is: 216,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,129.60 : 347,998.14 = 156,708.36 : x
  2. Step 2: Convert to fraction form
    252,129.60/347,998.14 = 156,708.36/x
  3. Step 3: Cross multiply
    252,129.60x = 347,998.14 × 156,708.36
  4. Step 4: Simplify right side
    252,129.60x = 54,534,217,802.45
  5. Step 5: Solve for x
    x = 54,534,217,802.45/252,129.60
  6. Step 6: Final answer
    x = 216,294.39

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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.