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Finding the Fourth Proportional to 137,256.20, 205,538.70 and 90,254.60

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Solution

The fourth proportional to 137,256.20, 205,538.70 and 90,254.60 is: 135,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,256.20 : 205,538.70 = 90,254.60 : x
  2. Step 2: Convert to fraction form
    137,256.20/205,538.70 = 90,254.60/x
  3. Step 3: Cross multiply
    137,256.20x = 205,538.70 × 90,254.60
  4. Step 4: Simplify right side
    137,256.20x = 18,550,813,153.02
  5. Step 5: Solve for x
    x = 18,550,813,153.02/137,256.20
  6. Step 6: Final answer
    x = 135,154.65

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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.