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Finding the Fourth Proportional to 233,129.10, 349,866.45 and 154,217.10

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Solution

The fourth proportional to 233,129.10, 349,866.45 and 154,217.10 is: 231,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,129.10 : 349,866.45 = 154,217.10 : x
  2. Step 2: Convert to fraction form
    233,129.10/349,866.45 = 154,217.10/x
  3. Step 3: Cross multiply
    233,129.10x = 349,866.45 × 154,217.10
  4. Step 4: Simplify right side
    233,129.10x = 53,955,389,306.30
  5. Step 5: Solve for x
    x = 53,955,389,306.30/233,129.10
  6. Step 6: Final answer
    x = 231,439.96

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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.