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Finding the Fourth Proportional to 137,222.80, 205,805.38 and 38,703.76

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Solution

The fourth proportional to 137,222.80, 205,805.38 and 38,703.76 is: 58,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,222.80 : 205,805.38 = 38,703.76 : x
  2. Step 2: Convert to fraction form
    137,222.80/205,805.38 = 38,703.76/x
  3. Step 3: Cross multiply
    137,222.80x = 205,805.38 × 38,703.76
  4. Step 4: Simplify right side
    137,222.80x = 7,965,442,034.23
  5. Step 5: Solve for x
    x = 7,965,442,034.23/137,222.80
  6. Step 6: Final answer
    x = 58,047.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.