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Finding the Fourth Proportional to 120,461.54, 180,572 and 80,514.16

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Solution

The fourth proportional to 120,461.54, 180,572 and 80,514.16 is: 120,690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,461.54 : 180,572 = 80,514.16 : x
  2. Step 2: Convert to fraction form
    120,461.54/180,572 = 80,514.16/x
  3. Step 3: Cross multiply
    120,461.54x = 180,572 × 80,514.16
  4. Step 4: Simplify right side
    120,461.54x = 14,538,602,899.52
  5. Step 5: Solve for x
    x = 14,538,602,899.52/120,461.54
  6. Step 6: Final answer
    x = 120,690.83

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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.