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Finding the Fourth Proportional to 153,872.61, 230,785.83 and 48,677.91

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Solution

The fourth proportional to 153,872.61, 230,785.83 and 48,677.91 is: 73,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,872.61 : 230,785.83 = 48,677.91 : x
  2. Step 2: Convert to fraction form
    153,872.61/230,785.83 = 48,677.91/x
  3. Step 3: Cross multiply
    153,872.61x = 230,785.83 × 48,677.91
  4. Step 4: Simplify right side
    153,872.61x = 11,234,171,862.02
  5. Step 5: Solve for x
    x = 11,234,171,862.02/153,872.61
  6. Step 6: Final answer
    x = 73,009.56

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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.