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Finding the Fourth Proportional to 102,581.42, 153,838.88 and 34,174.82

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Solution

The fourth proportional to 102,581.42, 153,838.88 and 34,174.82 is: 51,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,581.42 : 153,838.88 = 34,174.82 : x
  2. Step 2: Convert to fraction form
    102,581.42/153,838.88 = 34,174.82/x
  3. Step 3: Cross multiply
    102,581.42x = 153,838.88 × 34,174.82
  4. Step 4: Simplify right side
    102,581.42x = 5,257,416,033.00
  5. Step 5: Solve for x
    x = 5,257,416,033.00/102,581.42
  6. Step 6: Final answer
    x = 51,251.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.