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Finding the Fourth Proportional to 231,049.76, 346,707.76 and 97,919.52

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Solution

The fourth proportional to 231,049.76, 346,707.76 and 97,919.52 is: 146,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,049.76 : 346,707.76 = 97,919.52 : x
  2. Step 2: Convert to fraction form
    231,049.76/346,707.76 = 97,919.52/x
  3. Step 3: Cross multiply
    231,049.76x = 346,707.76 × 97,919.52
  4. Step 4: Simplify right side
    231,049.76x = 33,949,457,439.48
  5. Step 5: Solve for x
    x = 33,949,457,439.48/231,049.76
  6. Step 6: Final answer
    x = 146,935.70

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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.