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Finding the Fourth Proportional to 175,758, 263,582.48 and 63,423.60

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Solution

The fourth proportional to 175,758, 263,582.48 and 63,423.60 is: 95,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,758 : 263,582.48 = 63,423.60 : x
  2. Step 2: Convert to fraction form
    175,758/263,582.48 = 63,423.60/x
  3. Step 3: Cross multiply
    175,758x = 263,582.48 × 63,423.60
  4. Step 4: Simplify right side
    175,758x = 16,717,349,778.53
  5. Step 5: Solve for x
    x = 16,717,349,778.53/175,758
  6. Step 6: Final answer
    x = 95,115.73

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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.