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Finding the Fourth Proportional to 159,057.80, 238,411.74 and 65,512.52

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Solution

The fourth proportional to 159,057.80, 238,411.74 and 65,512.52 is: 98,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,057.80 : 238,411.74 = 65,512.52 : x
  2. Step 2: Convert to fraction form
    159,057.80/238,411.74 = 65,512.52/x
  3. Step 3: Cross multiply
    159,057.80x = 238,411.74 × 65,512.52
  4. Step 4: Simplify right side
    159,057.80x = 15,618,953,884.98
  5. Step 5: Solve for x
    x = 15,618,953,884.98/159,057.80
  6. Step 6: Final answer
    x = 98,196.72

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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.