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Finding the Fourth Proportional to 120,298.66, 180,447.18 and 94,025.50

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Solution

The fourth proportional to 120,298.66, 180,447.18 and 94,025.50 is: 141,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,298.66 : 180,447.18 = 94,025.50 : x
  2. Step 2: Convert to fraction form
    120,298.66/180,447.18 = 94,025.50/x
  3. Step 3: Cross multiply
    120,298.66x = 180,447.18 × 94,025.50
  4. Step 4: Simplify right side
    120,298.66x = 16,966,636,323.09
  5. Step 5: Solve for x
    x = 16,966,636,323.09/120,298.66
  6. Step 6: Final answer
    x = 141,037.62

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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.