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Finding the Fourth Proportional to 242,213.96, 363,345.71 and 92,580.20

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Solution

The fourth proportional to 242,213.96, 363,345.71 and 92,580.20 is: 138,879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,213.96 : 363,345.71 = 92,580.20 : x
  2. Step 2: Convert to fraction form
    242,213.96/363,345.71 = 92,580.20/x
  3. Step 3: Cross multiply
    242,213.96x = 363,345.71 × 92,580.20
  4. Step 4: Simplify right side
    242,213.96x = 33,638,616,221.31
  5. Step 5: Solve for x
    x = 33,638,616,221.31/242,213.96
  6. Step 6: Final answer
    x = 138,879.76

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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.