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Finding the Fourth Proportional to 129,966.93, 194,953.64 and 63,397.89

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Solution

The fourth proportional to 129,966.93, 194,953.64 and 63,397.89 is: 95,098.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,966.93 : 194,953.64 = 63,397.89 : x
  2. Step 2: Convert to fraction form
    129,966.93/194,953.64 = 63,397.89/x
  3. Step 3: Cross multiply
    129,966.93x = 194,953.64 × 63,397.89
  4. Step 4: Simplify right side
    129,966.93x = 12,359,649,106.83
  5. Step 5: Solve for x
    x = 12,359,649,106.83/129,966.93
  6. Step 6: Final answer
    x = 95,098.42

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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.