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Finding the Fourth Proportional to 153,871.92, 230,772.24 and 48,671.28

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Solution

The fourth proportional to 153,871.92, 230,772.24 and 48,671.28 is: 72,995.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,871.92 : 230,772.24 = 48,671.28 : x
  2. Step 2: Convert to fraction form
    153,871.92/230,772.24 = 48,671.28/x
  3. Step 3: Cross multiply
    153,871.92x = 230,772.24 × 48,671.28
  4. Step 4: Simplify right side
    153,871.92x = 11,231,980,309.27
  5. Step 5: Solve for x
    x = 11,231,980,309.27/153,871.92
  6. Step 6: Final answer
    x = 72,995.65

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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.