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Finding the Fourth Proportional to 292,512.47, 438,785.10 and 82,134

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Solution

The fourth proportional to 292,512.47, 438,785.10 and 82,134 is: 123,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,512.47 : 438,785.10 = 82,134 : x
  2. Step 2: Convert to fraction form
    292,512.47/438,785.10 = 82,134/x
  3. Step 3: Cross multiply
    292,512.47x = 438,785.10 × 82,134
  4. Step 4: Simplify right side
    292,512.47x = 36,039,175,403.40
  5. Step 5: Solve for x
    x = 36,039,175,403.40/292,512.47
  6. Step 6: Final answer
    x = 123,205.61

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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.