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Finding the Fourth Proportional to 120,225.12, 180,354.06 and 50,088

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Solution

The fourth proportional to 120,225.12, 180,354.06 and 50,088 is: 75,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,225.12 : 180,354.06 = 50,088 : x
  2. Step 2: Convert to fraction form
    120,225.12/180,354.06 = 50,088/x
  3. Step 3: Cross multiply
    120,225.12x = 180,354.06 × 50,088
  4. Step 4: Simplify right side
    120,225.12x = 9,033,574,157.28
  5. Step 5: Solve for x
    x = 9,033,574,157.28/120,225.12
  6. Step 6: Final answer
    x = 75,138.82

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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.