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Finding the Fourth Proportional to 102,242.25, 153,377.35 and 35,672.60

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Solution

The fourth proportional to 102,242.25, 153,377.35 and 35,672.60 is: 53,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,242.25 : 153,377.35 = 35,672.60 : x
  2. Step 2: Convert to fraction form
    102,242.25/153,377.35 = 35,672.60/x
  3. Step 3: Cross multiply
    102,242.25x = 153,377.35 × 35,672.60
  4. Step 4: Simplify right side
    102,242.25x = 5,471,369,149.87
  5. Step 5: Solve for x
    x = 5,471,369,149.87/102,242.25
  6. Step 6: Final answer
    x = 53,513.78

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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.