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Finding the Fourth Proportional to 242,496.32, 363,744.54 and 74,017.60

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Solution

The fourth proportional to 242,496.32, 363,744.54 and 74,017.60 is: 111,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,496.32 : 363,744.54 = 74,017.60 : x
  2. Step 2: Convert to fraction form
    242,496.32/363,744.54 = 74,017.60/x
  3. Step 3: Cross multiply
    242,496.32x = 363,744.54 × 74,017.60
  4. Step 4: Simplify right side
    242,496.32x = 26,923,496,954.54
  5. Step 5: Solve for x
    x = 26,923,496,954.54/242,496.32
  6. Step 6: Final answer
    x = 111,026.42

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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.