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Finding the Fourth Proportional to 233,234.65, 349,853.60 and 100,002.61

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Solution

The fourth proportional to 233,234.65, 349,853.60 and 100,002.61 is: 150,004.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,234.65 : 349,853.60 = 100,002.61 : x
  2. Step 2: Convert to fraction form
    233,234.65/349,853.60 = 100,002.61/x
  3. Step 3: Cross multiply
    233,234.65x = 349,853.60 × 100,002.61
  4. Step 4: Simplify right side
    233,234.65x = 34,986,273,117.90
  5. Step 5: Solve for x
    x = 34,986,273,117.90/233,234.65
  6. Step 6: Final answer
    x = 150,004.61

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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.