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Finding the Fourth Proportional to 193,038.30, 289,327.05 and 80,718.30

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Solution

The fourth proportional to 193,038.30, 289,327.05 and 80,718.30 is: 120,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,038.30 : 289,327.05 = 80,718.30 : x
  2. Step 2: Convert to fraction form
    193,038.30/289,327.05 = 80,718.30/x
  3. Step 3: Cross multiply
    193,038.30x = 289,327.05 × 80,718.30
  4. Step 4: Simplify right side
    193,038.30x = 23,353,987,620.02
  5. Step 5: Solve for x
    x = 23,353,987,620.02/193,038.30
  6. Step 6: Final answer
    x = 120,981.11

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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.