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Finding the Fourth Proportional to 153,782.40, 231,001.36 and 144,793.84

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Solution

The fourth proportional to 153,782.40, 231,001.36 and 144,793.84 is: 217,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,782.40 : 231,001.36 = 144,793.84 : x
  2. Step 2: Convert to fraction form
    153,782.40/231,001.36 = 144,793.84/x
  3. Step 3: Cross multiply
    153,782.40x = 231,001.36 × 144,793.84
  4. Step 4: Simplify right side
    153,782.40x = 33,447,573,959.62
  5. Step 5: Solve for x
    x = 33,447,573,959.62/153,782.40
  6. Step 6: Final answer
    x = 217,499.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.