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Finding the Fourth Proportional to 516,726, 775,092.24 and 142,752.24

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Solution

The fourth proportional to 516,726, 775,092.24 and 142,752.24 is: 214,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,726 : 775,092.24 = 142,752.24 : x
  2. Step 2: Convert to fraction form
    516,726/775,092.24 = 142,752.24/x
  3. Step 3: Cross multiply
    516,726x = 775,092.24 × 142,752.24
  4. Step 4: Simplify right side
    516,726x = 110,646,153,466.62
  5. Step 5: Solve for x
    x = 110,646,153,466.62/516,726
  6. Step 6: Final answer
    x = 214,129.26

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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.