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Finding the Fourth Proportional to 242,564.40, 363,781.80 and 74,084.40

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Solution

The fourth proportional to 242,564.40, 363,781.80 and 74,084.40 is: 111,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,564.40 : 363,781.80 = 74,084.40 : x
  2. Step 2: Convert to fraction form
    242,564.40/363,781.80 = 74,084.40/x
  3. Step 3: Cross multiply
    242,564.40x = 363,781.80 × 74,084.40
  4. Step 4: Simplify right side
    242,564.40x = 26,950,556,383.92
  5. Step 5: Solve for x
    x = 26,950,556,383.92/242,564.40
  6. Step 6: Final answer
    x = 111,106.81

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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.