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Finding the Fourth Proportional to 153,644.74, 230,467.10 and 48,471.91

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Solution

The fourth proportional to 153,644.74, 230,467.10 and 48,471.91 is: 72,707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,644.74 : 230,467.10 = 48,471.91 : x
  2. Step 2: Convert to fraction form
    153,644.74/230,467.10 = 48,471.91/x
  3. Step 3: Cross multiply
    153,644.74x = 230,467.10 × 48,471.91
  4. Step 4: Simplify right side
    153,644.74x = 11,171,180,529.16
  5. Step 5: Solve for x
    x = 11,171,180,529.16/153,644.74
  6. Step 6: Final answer
    x = 72,707.86

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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.