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Finding the Fourth Proportional to 332,834, 499,152.48 and 96,178.88

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Solution

The fourth proportional to 332,834, 499,152.48 and 96,178.88 is: 144,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,834 : 499,152.48 = 96,178.88 : x
  2. Step 2: Convert to fraction form
    332,834/499,152.48 = 96,178.88/x
  3. Step 3: Cross multiply
    332,834x = 499,152.48 × 96,178.88
  4. Step 4: Simplify right side
    332,834x = 48,007,926,475.62
  5. Step 5: Solve for x
    x = 48,007,926,475.62/332,834
  6. Step 6: Final answer
    x = 144,239.85

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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.