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Finding the Fourth Proportional to 252,935.34, 349,046.54 and 138,211.46

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Solution

The fourth proportional to 252,935.34, 349,046.54 and 138,211.46 is: 190,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,935.34 : 349,046.54 = 138,211.46 : x
  2. Step 2: Convert to fraction form
    252,935.34/349,046.54 = 138,211.46/x
  3. Step 3: Cross multiply
    252,935.34x = 349,046.54 × 138,211.46
  4. Step 4: Simplify right side
    252,935.34x = 48,242,231,901.35
  5. Step 5: Solve for x
    x = 48,242,231,901.35/252,935.34
  6. Step 6: Final answer
    x = 190,729.50

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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.