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Finding the Fourth Proportional to 147,801.66, 203,905.92 and 109,132.16

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Solution

The fourth proportional to 147,801.66, 203,905.92 and 109,132.16 is: 150,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,801.66 : 203,905.92 = 109,132.16 : x
  2. Step 2: Convert to fraction form
    147,801.66/203,905.92 = 109,132.16/x
  3. Step 3: Cross multiply
    147,801.66x = 203,905.92 × 109,132.16
  4. Step 4: Simplify right side
    147,801.66x = 22,252,693,486.39
  5. Step 5: Solve for x
    x = 22,252,693,486.39/147,801.66
  6. Step 6: Final answer
    x = 150,557.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.