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Finding the Fourth Proportional to 137,237.04, 205,826.70 and 38,718

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Solution

The fourth proportional to 137,237.04, 205,826.70 and 38,718 is: 58,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,237.04 : 205,826.70 = 38,718 : x
  2. Step 2: Convert to fraction form
    137,237.04/205,826.70 = 38,718/x
  3. Step 3: Cross multiply
    137,237.04x = 205,826.70 × 38,718
  4. Step 4: Simplify right side
    137,237.04x = 7,969,198,170.60
  5. Step 5: Solve for x
    x = 7,969,198,170.60/137,237.04
  6. Step 6: Final answer
    x = 58,068.86

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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.