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Finding the Fourth Proportional to 233,053.20, 349,842.60 and 154,321.20

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Solution

The fourth proportional to 233,053.20, 349,842.60 and 154,321.20 is: 231,655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,053.20 : 349,842.60 = 154,321.20 : x
  2. Step 2: Convert to fraction form
    233,053.20/349,842.60 = 154,321.20/x
  3. Step 3: Cross multiply
    233,053.20x = 349,842.60 × 154,321.20
  4. Step 4: Simplify right side
    233,053.20x = 53,988,129,843.12
  5. Step 5: Solve for x
    x = 53,988,129,843.12/233,053.20
  6. Step 6: Final answer
    x = 231,655.82

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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.