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Finding the Fourth Proportional to 180,510.29, 270,796.17 and 90,595.88

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Solution

The fourth proportional to 180,510.29, 270,796.17 and 90,595.88 is: 135,909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,510.29 : 270,796.17 = 90,595.88 : x
  2. Step 2: Convert to fraction form
    180,510.29/270,796.17 = 90,595.88/x
  3. Step 3: Cross multiply
    180,510.29x = 270,796.17 × 90,595.88
  4. Step 4: Simplify right side
    180,510.29x = 24,533,017,323.02
  5. Step 5: Solve for x
    x = 24,533,017,323.02/180,510.29
  6. Step 6: Final answer
    x = 135,909.25

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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.