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Finding the Fourth Proportional to 242,206, 363,327.62 and 73,740.78

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Solution

The fourth proportional to 242,206, 363,327.62 and 73,740.78 is: 110,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,206 : 363,327.62 = 73,740.78 : x
  2. Step 2: Convert to fraction form
    242,206/363,327.62 = 73,740.78/x
  3. Step 3: Cross multiply
    242,206x = 363,327.62 × 73,740.78
  4. Step 4: Simplify right side
    242,206x = 26,792,062,094.34
  5. Step 5: Solve for x
    x = 26,792,062,094.34/242,206
  6. Step 6: Final answer
    x = 110,616.84

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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.