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Finding the Fourth Proportional to 102,042.46, 140,765.12 and 69,325.17

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Solution

The fourth proportional to 102,042.46, 140,765.12 and 69,325.17 is: 95,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,042.46 : 140,765.12 = 69,325.17 : x
  2. Step 2: Convert to fraction form
    102,042.46/140,765.12 = 69,325.17/x
  3. Step 3: Cross multiply
    102,042.46x = 140,765.12 × 69,325.17
  4. Step 4: Simplify right side
    102,042.46x = 9,758,565,064.57
  5. Step 5: Solve for x
    x = 9,758,565,064.57/102,042.46
  6. Step 6: Final answer
    x = 95,632.40

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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.