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Finding the Fourth Proportional to 120,616.23, 180,931.40 and 40,647.50

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Solution

The fourth proportional to 120,616.23, 180,931.40 and 40,647.50 is: 60,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,616.23 : 180,931.40 = 40,647.50 : x
  2. Step 2: Convert to fraction form
    120,616.23/180,931.40 = 40,647.50/x
  3. Step 3: Cross multiply
    120,616.23x = 180,931.40 × 40,647.50
  4. Step 4: Simplify right side
    120,616.23x = 7,354,409,081.50
  5. Step 5: Solve for x
    x = 7,354,409,081.50/120,616.23
  6. Step 6: Final answer
    x = 60,973.63

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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.