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Finding the Fourth Proportional to 253,400.76, 349,541 and 167,359.90

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Solution

The fourth proportional to 253,400.76, 349,541 and 167,359.90 is: 230,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,400.76 : 349,541 = 167,359.90 : x
  2. Step 2: Convert to fraction form
    253,400.76/349,541 = 167,359.90/x
  3. Step 3: Cross multiply
    253,400.76x = 349,541 × 167,359.90
  4. Step 4: Simplify right side
    253,400.76x = 58,499,146,805.90
  5. Step 5: Solve for x
    x = 58,499,146,805.90/253,400.76
  6. Step 6: Final answer
    x = 230,856.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.