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Finding the Fourth Proportional to 500,129.26, 750,271.65 and 167,627.50

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Solution

The fourth proportional to 500,129.26, 750,271.65 and 167,627.50 is: 251,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,129.26 : 750,271.65 = 167,627.50 : x
  2. Step 2: Convert to fraction form
    500,129.26/750,271.65 = 167,627.50/x
  3. Step 3: Cross multiply
    500,129.26x = 750,271.65 × 167,627.50
  4. Step 4: Simplify right side
    500,129.26x = 125,766,161,010.38
  5. Step 5: Solve for x
    x = 125,766,161,010.38/500,129.26
  6. Step 6: Final answer
    x = 251,467.31

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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.