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Finding the Fourth Proportional to 123,820.40, 185,730.60 and 106,105.70

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Solution

The fourth proportional to 123,820.40, 185,730.60 and 106,105.70 is: 159,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,820.40 : 185,730.60 = 106,105.70 : x
  2. Step 2: Convert to fraction form
    123,820.40/185,730.60 = 106,105.70/x
  3. Step 3: Cross multiply
    123,820.40x = 185,730.60 × 106,105.70
  4. Step 4: Simplify right side
    123,820.40x = 19,707,075,324.42
  5. Step 5: Solve for x
    x = 19,707,075,324.42/123,820.40
  6. Step 6: Final answer
    x = 159,158.55

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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.