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Finding the Fourth Proportional to 102,008.15, 140,770.71 and 56,068.85

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Solution

The fourth proportional to 102,008.15, 140,770.71 and 56,068.85 is: 77,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,008.15 : 140,770.71 = 56,068.85 : x
  2. Step 2: Convert to fraction form
    102,008.15/140,770.71 = 56,068.85/x
  3. Step 3: Cross multiply
    102,008.15x = 140,770.71 × 56,068.85
  4. Step 4: Simplify right side
    102,008.15x = 7,892,851,823.38
  5. Step 5: Solve for x
    x = 7,892,851,823.38/102,008.15
  6. Step 6: Final answer
    x = 77,374.72

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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.