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Finding the Fourth Proportional to 102,042.37, 152,957.85 and 73,892.04

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Solution

The fourth proportional to 102,042.37, 152,957.85 and 73,892.04 is: 110,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,042.37 : 152,957.85 = 73,892.04 : x
  2. Step 2: Convert to fraction form
    102,042.37/152,957.85 = 73,892.04/x
  3. Step 3: Cross multiply
    102,042.37x = 152,957.85 × 73,892.04
  4. Step 4: Simplify right side
    102,042.37x = 11,302,367,570.51
  5. Step 5: Solve for x
    x = 11,302,367,570.51/102,042.37
  6. Step 6: Final answer
    x = 110,761.52

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