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Finding the Fourth Proportional to 242,500.82, 363,751.29 and 74,022.10

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Solution

The fourth proportional to 242,500.82, 363,751.29 and 74,022.10 is: 111,033.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,500.82 : 363,751.29 = 74,022.10 : x
  2. Step 2: Convert to fraction form
    242,500.82/363,751.29 = 74,022.10/x
  3. Step 3: Cross multiply
    242,500.82x = 363,751.29 × 74,022.10
  4. Step 4: Simplify right side
    242,500.82x = 26,925,633,454.13
  5. Step 5: Solve for x
    x = 26,925,633,454.13/242,500.82
  6. Step 6: Final answer
    x = 111,033.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.