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Finding the Fourth Proportional to 137,145.80, 205,718.70 and 113,817.80

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Solution

The fourth proportional to 137,145.80, 205,718.70 and 113,817.80 is: 170,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,145.80 : 205,718.70 = 113,817.80 : x
  2. Step 2: Convert to fraction form
    137,145.80/205,718.70 = 113,817.80/x
  3. Step 3: Cross multiply
    137,145.80x = 205,718.70 × 113,817.80
  4. Step 4: Simplify right side
    137,145.80x = 23,414,449,852.86
  5. Step 5: Solve for x
    x = 23,414,449,852.86/137,145.80
  6. Step 6: Final answer
    x = 170,726.70

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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.