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Finding the Fourth Proportional to 129,174.64, 193,765.64 and 35,680.40

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Solution

The fourth proportional to 129,174.64, 193,765.64 and 35,680.40 is: 53,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,174.64 : 193,765.64 = 35,680.40 : x
  2. Step 2: Convert to fraction form
    129,174.64/193,765.64 = 35,680.40/x
  3. Step 3: Cross multiply
    129,174.64x = 193,765.64 × 35,680.40
  4. Step 4: Simplify right side
    129,174.64x = 6,913,635,541.46
  5. Step 5: Solve for x
    x = 6,913,635,541.46/129,174.64
  6. Step 6: Final answer
    x = 53,521.62

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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.