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Finding the Fourth Proportional to 137,894.76, 206,854.07 and 38,054.97

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Solution

The fourth proportional to 137,894.76, 206,854.07 and 38,054.97 is: 57,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,894.76 : 206,854.07 = 38,054.97 : x
  2. Step 2: Convert to fraction form
    137,894.76/206,854.07 = 38,054.97/x
  3. Step 3: Cross multiply
    137,894.76x = 206,854.07 × 38,054.97
  4. Step 4: Simplify right side
    137,894.76x = 7,871,825,237.95
  5. Step 5: Solve for x
    x = 7,871,825,237.95/137,894.76
  6. Step 6: Final answer
    x = 57,085.75

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Why These Related Problems?

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