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Finding the Fourth Proportional to 120,457.53, 180,566.01 and 80,510.16

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Solution

The fourth proportional to 120,457.53, 180,566.01 and 80,510.16 is: 120,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,457.53 : 180,566.01 = 80,510.16 : x
  2. Step 2: Convert to fraction form
    120,457.53/180,566.01 = 80,510.16/x
  3. Step 3: Cross multiply
    120,457.53x = 180,566.01 × 80,510.16
  4. Step 4: Simplify right side
    120,457.53x = 14,537,398,355.66
  5. Step 5: Solve for x
    x = 14,537,398,355.66/120,457.53
  6. Step 6: Final answer
    x = 120,684.85

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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.