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Finding the Fourth Proportional to 129,421.65, 194,132.34 and 40,682.91

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Solution

The fourth proportional to 129,421.65, 194,132.34 and 40,682.91 is: 61,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,421.65 : 194,132.34 = 40,682.91 : x
  2. Step 2: Convert to fraction form
    129,421.65/194,132.34 = 40,682.91/x
  3. Step 3: Cross multiply
    129,421.65x = 194,132.34 × 40,682.91
  4. Step 4: Simplify right side
    129,421.65x = 7,897,868,516.31
  5. Step 5: Solve for x
    x = 7,897,868,516.31/129,421.65
  6. Step 6: Final answer
    x = 61,024.32

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