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Finding the Fourth Proportional to 151,482.67, 209,043.19 and 82,572.73

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Solution

The fourth proportional to 151,482.67, 209,043.19 and 82,572.73 is: 113,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,482.67 : 209,043.19 = 82,572.73 : x
  2. Step 2: Convert to fraction form
    151,482.67/209,043.19 = 82,572.73/x
  3. Step 3: Cross multiply
    151,482.67x = 209,043.19 × 82,572.73
  4. Step 4: Simplify right side
    151,482.67x = 17,261,266,886.21
  5. Step 5: Solve for x
    x = 17,261,266,886.21/151,482.67
  6. Step 6: Final answer
    x = 113,948.79

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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.