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Finding the Fourth Proportional to 129,864.40, 194,873.40 and 46,747.60

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Solution

The fourth proportional to 129,864.40, 194,873.40 and 46,747.60 is: 70,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,864.40 : 194,873.40 = 46,747.60 : x
  2. Step 2: Convert to fraction form
    129,864.40/194,873.40 = 46,747.60/x
  3. Step 3: Cross multiply
    129,864.40x = 194,873.40 × 46,747.60
  4. Step 4: Simplify right side
    129,864.40x = 9,109,863,753.84
  5. Step 5: Solve for x
    x = 9,109,863,753.84/129,864.40
  6. Step 6: Final answer
    x = 70,149.05

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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.