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Finding the Fourth Proportional to 242,512.86, 363,720.06 and 64,978.38

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Solution

The fourth proportional to 242,512.86, 363,720.06 and 64,978.38 is: 97,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,512.86 : 363,720.06 = 64,978.38 : x
  2. Step 2: Convert to fraction form
    242,512.86/363,720.06 = 64,978.38/x
  3. Step 3: Cross multiply
    242,512.86x = 363,720.06 × 64,978.38
  4. Step 4: Simplify right side
    242,512.86x = 23,633,940,272.30
  5. Step 5: Solve for x
    x = 23,633,940,272.30/242,512.86
  6. Step 6: Final answer
    x = 97,454.38

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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.