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Finding the Fourth Proportional to 220,802.64, 330,387.48 and 132,117.36

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Solution

The fourth proportional to 220,802.64, 330,387.48 and 132,117.36 is: 197,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,802.64 : 330,387.48 = 132,117.36 : x
  2. Step 2: Convert to fraction form
    220,802.64/330,387.48 = 132,117.36/x
  3. Step 3: Cross multiply
    220,802.64x = 330,387.48 × 132,117.36
  4. Step 4: Simplify right side
    220,802.64x = 43,649,921,634.65
  5. Step 5: Solve for x
    x = 43,649,921,634.65/220,802.64
  6. Step 6: Final answer
    x = 197,687.50

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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.