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Finding the Fourth Proportional to 180,430.12, 270,466.68 and 85,493.52

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Solution

The fourth proportional to 180,430.12, 270,466.68 and 85,493.52 is: 128,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,430.12 : 270,466.68 = 85,493.52 : x
  2. Step 2: Convert to fraction form
    180,430.12/270,466.68 = 85,493.52/x
  3. Step 3: Cross multiply
    180,430.12x = 270,466.68 × 85,493.52
  4. Step 4: Simplify right side
    180,430.12x = 23,123,148,515.91
  5. Step 5: Solve for x
    x = 23,123,148,515.91/180,430.12
  6. Step 6: Final answer
    x = 128,155.70

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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.