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Finding the Fourth Proportional to 153,892.70, 230,827.52 and 54,053.78

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Solution

The fourth proportional to 153,892.70, 230,827.52 and 54,053.78 is: 81,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,892.70 : 230,827.52 = 54,053.78 : x
  2. Step 2: Convert to fraction form
    153,892.70/230,827.52 = 54,053.78/x
  3. Step 3: Cross multiply
    153,892.70x = 230,827.52 × 54,053.78
  4. Step 4: Simplify right side
    153,892.70x = 12,477,098,965.02
  5. Step 5: Solve for x
    x = 12,477,098,965.02/153,892.70
  6. Step 6: Final answer
    x = 81,076.61

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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.