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Finding the Fourth Proportional to 102,674.28, 141,695.22 and 56,740.38

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Solution

The fourth proportional to 102,674.28, 141,695.22 and 56,740.38 is: 78,304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,674.28 : 141,695.22 = 56,740.38 : x
  2. Step 2: Convert to fraction form
    102,674.28/141,695.22 = 56,740.38/x
  3. Step 3: Cross multiply
    102,674.28x = 141,695.22 × 56,740.38
  4. Step 4: Simplify right side
    102,674.28x = 8,039,840,626.98
  5. Step 5: Solve for x
    x = 8,039,840,626.98/102,674.28
  6. Step 6: Final answer
    x = 78,304.33

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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.