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Finding the Fourth Proportional to 252,063.54, 347,854.14 and 138,886.38

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Solution

The fourth proportional to 252,063.54, 347,854.14 and 138,886.38 is: 191,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,063.54 : 347,854.14 = 138,886.38 : x
  2. Step 2: Convert to fraction form
    252,063.54/347,854.14 = 138,886.38/x
  3. Step 3: Cross multiply
    252,063.54x = 347,854.14 × 138,886.38
  4. Step 4: Simplify right side
    252,063.54x = 48,312,202,272.61
  5. Step 5: Solve for x
    x = 48,312,202,272.61/252,063.54
  6. Step 6: Final answer
    x = 191,666.76

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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.