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Finding the Fourth Proportional to 120,460.54, 180,570.50 and 80,513.16

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Solution

The fourth proportional to 120,460.54, 180,570.50 and 80,513.16 is: 120,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,460.54 : 180,570.50 = 80,513.16 : x
  2. Step 2: Convert to fraction form
    120,460.54/180,570.50 = 80,513.16/x
  3. Step 3: Cross multiply
    120,460.54x = 180,570.50 × 80,513.16
  4. Step 4: Simplify right side
    120,460.54x = 14,538,301,557.78
  5. Step 5: Solve for x
    x = 14,538,301,557.78/120,460.54
  6. Step 6: Final answer
    x = 120,689.33

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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.