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Finding the Fourth Proportional to 252,063.68, 347,848.48 and 137,341.76

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Solution

The fourth proportional to 252,063.68, 347,848.48 and 137,341.76 is: 189,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,063.68 : 347,848.48 = 137,341.76 : x
  2. Step 2: Convert to fraction form
    252,063.68/347,848.48 = 137,341.76/x
  3. Step 3: Cross multiply
    252,063.68x = 347,848.48 × 137,341.76
  4. Step 4: Simplify right side
    252,063.68x = 47,774,122,456.52
  5. Step 5: Solve for x
    x = 47,774,122,456.52/252,063.68
  6. Step 6: Final answer
    x = 189,531.96

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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.