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Finding the Fourth Proportional to 242,675.40, 363,948.30 and 74,195.40

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Solution

The fourth proportional to 242,675.40, 363,948.30 and 74,195.40 is: 111,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,675.40 : 363,948.30 = 74,195.40 : x
  2. Step 2: Convert to fraction form
    242,675.40/363,948.30 = 74,195.40/x
  3. Step 3: Cross multiply
    242,675.40x = 363,948.30 × 74,195.40
  4. Step 4: Simplify right side
    242,675.40x = 27,003,289,697.82
  5. Step 5: Solve for x
    x = 27,003,289,697.82/242,675.40
  6. Step 6: Final answer
    x = 111,273.29

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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.