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Finding the Fourth Proportional to 102,311, 141,126 and 59,841.08

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Solution

The fourth proportional to 102,311, 141,126 and 59,841.08 is: 82,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,311 : 141,126 = 59,841.08 : x
  2. Step 2: Convert to fraction form
    102,311/141,126 = 59,841.08/x
  3. Step 3: Cross multiply
    102,311x = 141,126 × 59,841.08
  4. Step 4: Simplify right side
    102,311x = 8,445,132,256.08
  5. Step 5: Solve for x
    x = 8,445,132,256.08/102,311
  6. Step 6: Final answer
    x = 82,543.74

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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.