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Finding the Fourth Proportional to 129,175.64, 193,767.14 and 35,681.40

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Solution

The fourth proportional to 129,175.64, 193,767.14 and 35,681.40 is: 53,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,175.64 : 193,767.14 = 35,681.40 : x
  2. Step 2: Convert to fraction form
    129,175.64/193,767.14 = 35,681.40/x
  3. Step 3: Cross multiply
    129,175.64x = 193,767.14 × 35,681.40
  4. Step 4: Simplify right side
    129,175.64x = 6,913,882,829.20
  5. Step 5: Solve for x
    x = 6,913,882,829.20/129,175.64
  6. Step 6: Final answer
    x = 53,523.12

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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.