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Finding the Fourth Proportional to 551,405.26, 827,164.86 and 152,046.10

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Solution

The fourth proportional to 551,405.26, 827,164.86 and 152,046.10 is: 228,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,405.26 : 827,164.86 = 152,046.10 : x
  2. Step 2: Convert to fraction form
    551,405.26/827,164.86 = 152,046.10/x
  3. Step 3: Cross multiply
    551,405.26x = 827,164.86 × 152,046.10
  4. Step 4: Simplify right side
    551,405.26x = 125,767,191,020.05
  5. Step 5: Solve for x
    x = 125,767,191,020.05/551,405.26
  6. Step 6: Final answer
    x = 228,084.86

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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.