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Finding the Fourth Proportional to 153,315.20, 229,972.80 and 111,843.20

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Solution

The fourth proportional to 153,315.20, 229,972.80 and 111,843.20 is: 167,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,315.20 : 229,972.80 = 111,843.20 : x
  2. Step 2: Convert to fraction form
    153,315.20/229,972.80 = 111,843.20/x
  3. Step 3: Cross multiply
    153,315.20x = 229,972.80 × 111,843.20
  4. Step 4: Simplify right side
    153,315.20x = 25,720,893,864.96
  5. Step 5: Solve for x
    x = 25,720,893,864.96/153,315.20
  6. Step 6: Final answer
    x = 167,764.80

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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.