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Finding the Fourth Proportional to 159,564.68, 239,382.02 and 47,253.64

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Solution

The fourth proportional to 159,564.68, 239,382.02 and 47,253.64 is: 70,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,564.68 : 239,382.02 = 47,253.64 : x
  2. Step 2: Convert to fraction form
    159,564.68/239,382.02 = 47,253.64/x
  3. Step 3: Cross multiply
    159,564.68x = 239,382.02 × 47,253.64
  4. Step 4: Simplify right side
    159,564.68x = 11,311,671,795.55
  5. Step 5: Solve for x
    x = 11,311,671,795.55/159,564.68
  6. Step 6: Final answer
    x = 70,890.82

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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.