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Finding the Fourth Proportional to 177,532.40, 265,909.80 and 157,833.20

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Solution

The fourth proportional to 177,532.40, 265,909.80 and 157,833.20 is: 236,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,532.40 : 265,909.80 = 157,833.20 : x
  2. Step 2: Convert to fraction form
    177,532.40/265,909.80 = 157,833.20/x
  3. Step 3: Cross multiply
    177,532.40x = 265,909.80 × 157,833.20
  4. Step 4: Simplify right side
    177,532.40x = 41,969,394,645.36
  5. Step 5: Solve for x
    x = 41,969,394,645.36/177,532.40
  6. Step 6: Final answer
    x = 236,404.14

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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.