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Finding the Fourth Proportional to 120,024.45, 180,045.45 and 41,138.01

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Solution

The fourth proportional to 120,024.45, 180,045.45 and 41,138.01 is: 61,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,024.45 : 180,045.45 = 41,138.01 : x
  2. Step 2: Convert to fraction form
    120,024.45/180,045.45 = 41,138.01/x
  3. Step 3: Cross multiply
    120,024.45x = 180,045.45 × 41,138.01
  4. Step 4: Simplify right side
    120,024.45x = 7,406,711,522.55
  5. Step 5: Solve for x
    x = 7,406,711,522.55/120,024.45
  6. Step 6: Final answer
    x = 61,710.02

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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.