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Finding the Fourth Proportional to 250,213.64, 375,278.16 and 70,257.80

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Solution

The fourth proportional to 250,213.64, 375,278.16 and 70,257.80 is: 105,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,213.64 : 375,278.16 = 70,257.80 : x
  2. Step 2: Convert to fraction form
    250,213.64/375,278.16 = 70,257.80/x
  3. Step 3: Cross multiply
    250,213.64x = 375,278.16 × 70,257.80
  4. Step 4: Simplify right side
    250,213.64x = 26,366,217,909.65
  5. Step 5: Solve for x
    x = 26,366,217,909.65/250,213.64
  6. Step 6: Final answer
    x = 105,374.82

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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.