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Finding the Fourth Proportional to 155,456.40, 233,357.40 and 96,358.80

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Solution

The fourth proportional to 155,456.40, 233,357.40 and 96,358.80 is: 144,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,456.40 : 233,357.40 = 96,358.80 : x
  2. Step 2: Convert to fraction form
    155,456.40/233,357.40 = 96,358.80/x
  3. Step 3: Cross multiply
    155,456.40x = 233,357.40 × 96,358.80
  4. Step 4: Simplify right side
    155,456.40x = 22,486,039,035.12
  5. Step 5: Solve for x
    x = 22,486,039,035.12/155,456.40
  6. Step 6: Final answer
    x = 144,645.31

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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.