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Finding the Fourth Proportional to 180,657.20, 249,348.40 and 120,230.40

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Solution

The fourth proportional to 180,657.20, 249,348.40 and 120,230.40 is: 165,945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,657.20 : 249,348.40 = 120,230.40 : x
  2. Step 2: Convert to fraction form
    180,657.20/249,348.40 = 120,230.40/x
  3. Step 3: Cross multiply
    180,657.20x = 249,348.40 × 120,230.40
  4. Step 4: Simplify right side
    180,657.20x = 29,979,257,871.36
  5. Step 5: Solve for x
    x = 29,979,257,871.36/180,657.20
  6. Step 6: Final answer
    x = 165,945.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.