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Finding the Fourth Proportional to 242,431.16, 363,703.97 and 76,219.16

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Solution

The fourth proportional to 242,431.16, 363,703.97 and 76,219.16 is: 114,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,431.16 : 363,703.97 = 76,219.16 : x
  2. Step 2: Convert to fraction form
    242,431.16/363,703.97 = 76,219.16/x
  3. Step 3: Cross multiply
    242,431.16x = 363,703.97 × 76,219.16
  4. Step 4: Simplify right side
    242,431.16x = 27,721,209,454.09
  5. Step 5: Solve for x
    x = 27,721,209,454.09/242,431.16
  6. Step 6: Final answer
    x = 114,346.73

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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.