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Finding the Fourth Proportional to 153,885.60, 230,931.84 and 54,046.56

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Solution

The fourth proportional to 153,885.60, 230,931.84 and 54,046.56 is: 81,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,885.60 : 230,931.84 = 54,046.56 : x
  2. Step 2: Convert to fraction form
    153,885.60/230,931.84 = 54,046.56/x
  3. Step 3: Cross multiply
    153,885.60x = 230,931.84 × 54,046.56
  4. Step 4: Simplify right side
    153,885.60x = 12,481,071,546.47
  5. Step 5: Solve for x
    x = 12,481,071,546.47/153,885.60
  6. Step 6: Final answer
    x = 81,106.17

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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.