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Finding the Fourth Proportional to 297,102.52, 410,000.29 and 161,135.92

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Solution

The fourth proportional to 297,102.52, 410,000.29 and 161,135.92 is: 222,366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,102.52 : 410,000.29 = 161,135.92 : x
  2. Step 2: Convert to fraction form
    297,102.52/410,000.29 = 161,135.92/x
  3. Step 3: Cross multiply
    297,102.52x = 410,000.29 × 161,135.92
  4. Step 4: Simplify right side
    297,102.52x = 66,065,773,929.42
  5. Step 5: Solve for x
    x = 66,065,773,929.42/297,102.52
  6. Step 6: Final answer
    x = 222,366.93

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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.