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Finding the Fourth Proportional to 513,234.12, 769,801.70 and 158,152.80

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Solution

The fourth proportional to 513,234.12, 769,801.70 and 158,152.80 is: 237,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,234.12 : 769,801.70 = 158,152.80 : x
  2. Step 2: Convert to fraction form
    513,234.12/769,801.70 = 158,152.80/x
  3. Step 3: Cross multiply
    513,234.12x = 769,801.70 × 158,152.80
  4. Step 4: Simplify right side
    513,234.12x = 121,746,293,509.00
  5. Step 5: Solve for x
    x = 121,746,293,509.00/513,234.12
  6. Step 6: Final answer
    x = 237,213.95

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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.