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Finding the Fourth Proportional to 252,073.34, 347,848.09 and 156,578.12

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Solution

The fourth proportional to 252,073.34, 347,848.09 and 156,578.12 is: 216,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,073.34 : 347,848.09 = 156,578.12 : x
  2. Step 2: Convert to fraction form
    252,073.34/347,848.09 = 156,578.12/x
  3. Step 3: Cross multiply
    252,073.34x = 347,848.09 × 156,578.12
  4. Step 4: Simplify right side
    252,073.34x = 54,465,399,194.90
  5. Step 5: Solve for x
    x = 54,465,399,194.90/252,073.34
  6. Step 6: Final answer
    x = 216,069.65

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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.