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Finding the Fourth Proportional to 102,206.69, 141,049.28 and 56,886.58

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Solution

The fourth proportional to 102,206.69, 141,049.28 and 56,886.58 is: 78,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,206.69 : 141,049.28 = 56,886.58 : x
  2. Step 2: Convert to fraction form
    102,206.69/141,049.28 = 56,886.58/x
  3. Step 3: Cross multiply
    102,206.69x = 141,049.28 × 56,886.58
  4. Step 4: Simplify right side
    102,206.69x = 8,023,811,150.66
  5. Step 5: Solve for x
    x = 8,023,811,150.66/102,206.69
  6. Step 6: Final answer
    x = 78,505.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.