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Finding the Fourth Proportional to 102,405.80, 141,319.68 and 59,955.86

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Solution

The fourth proportional to 102,405.80, 141,319.68 and 59,955.86 is: 82,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,405.80 : 141,319.68 = 59,955.86 : x
  2. Step 2: Convert to fraction form
    102,405.80/141,319.68 = 59,955.86/x
  3. Step 3: Cross multiply
    102,405.80x = 141,319.68 × 59,955.86
  4. Step 4: Simplify right side
    102,405.80x = 8,472,942,949.32
  5. Step 5: Solve for x
    x = 8,472,942,949.32/102,405.80
  6. Step 6: Final answer
    x = 82,738.90

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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.