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Finding the Fourth Proportional to 252,054.54, 347,841.72 and 138,877.38

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Solution

The fourth proportional to 252,054.54, 347,841.72 and 138,877.38 is: 191,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,054.54 : 347,841.72 = 138,877.38 : x
  2. Step 2: Convert to fraction form
    252,054.54/347,841.72 = 138,877.38/x
  3. Step 3: Cross multiply
    252,054.54x = 347,841.72 × 138,877.38
  4. Step 4: Simplify right side
    252,054.54x = 48,307,346,728.29
  5. Step 5: Solve for x
    x = 48,307,346,728.29/252,054.54
  6. Step 6: Final answer
    x = 191,654.34

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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.