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Finding the Fourth Proportional to 233,164.80, 349,747.20 and 144,691.20

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Solution

The fourth proportional to 233,164.80, 349,747.20 and 144,691.20 is: 217,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,164.80 : 349,747.20 = 144,691.20 : x
  2. Step 2: Convert to fraction form
    233,164.80/349,747.20 = 144,691.20/x
  3. Step 3: Cross multiply
    233,164.80x = 349,747.20 × 144,691.20
  4. Step 4: Simplify right side
    233,164.80x = 50,605,342,064.64
  5. Step 5: Solve for x
    x = 50,605,342,064.64/233,164.80
  6. Step 6: Final answer
    x = 217,036.80

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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.