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Finding the Fourth Proportional to 159,659.76, 239,359.76 and 59,764

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Solution

The fourth proportional to 159,659.76, 239,359.76 and 59,764 is: 89,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,659.76 : 239,359.76 = 59,764 : x
  2. Step 2: Convert to fraction form
    159,659.76/239,359.76 = 59,764/x
  3. Step 3: Cross multiply
    159,659.76x = 239,359.76 × 59,764
  4. Step 4: Simplify right side
    159,659.76x = 14,305,096,696.64
  5. Step 5: Solve for x
    x = 14,305,096,696.64/159,659.76
  6. Step 6: Final answer
    x = 89,597.38

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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.