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Finding the Fourth Proportional to 115,449.84, 159,262.08 and 70,115.76

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Solution

The fourth proportional to 115,449.84, 159,262.08 and 70,115.76 is: 96,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,449.84 : 159,262.08 = 70,115.76 : x
  2. Step 2: Convert to fraction form
    115,449.84/159,262.08 = 70,115.76/x
  3. Step 3: Cross multiply
    115,449.84x = 159,262.08 × 70,115.76
  4. Step 4: Simplify right side
    115,449.84x = 11,166,781,778.38
  5. Step 5: Solve for x
    x = 11,166,781,778.38/115,449.84
  6. Step 6: Final answer
    x = 96,724.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.