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Finding the Fourth Proportional to 102,364.38, 141,265.80 and 59,344.02

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Solution

The fourth proportional to 102,364.38, 141,265.80 and 59,344.02 is: 81,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,364.38 : 141,265.80 = 59,344.02 : x
  2. Step 2: Convert to fraction form
    102,364.38/141,265.80 = 59,344.02/x
  3. Step 3: Cross multiply
    102,364.38x = 141,265.80 × 59,344.02
  4. Step 4: Simplify right side
    102,364.38x = 8,383,280,460.52
  5. Step 5: Solve for x
    x = 8,383,280,460.52/102,364.38
  6. Step 6: Final answer
    x = 81,896.46

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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.