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Finding the Fourth Proportional to 114,565.66, 171,527.22 and 86,397.10

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Solution

The fourth proportional to 114,565.66, 171,527.22 and 86,397.10 is: 129,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,565.66 : 171,527.22 = 86,397.10 : x
  2. Step 2: Convert to fraction form
    114,565.66/171,527.22 = 86,397.10/x
  3. Step 3: Cross multiply
    114,565.66x = 171,527.22 × 86,397.10
  4. Step 4: Simplify right side
    114,565.66x = 14,819,453,950.24
  5. Step 5: Solve for x
    x = 14,819,453,950.24/114,565.66
  6. Step 6: Final answer
    x = 129,353.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.