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Finding the Fourth Proportional to 242,042.22, 363,054.96 and 92,277

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Solution

The fourth proportional to 242,042.22, 363,054.96 and 92,277 is: 138,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,042.22 : 363,054.96 = 92,277 : x
  2. Step 2: Convert to fraction form
    242,042.22/363,054.96 = 92,277/x
  3. Step 3: Cross multiply
    242,042.22x = 363,054.96 × 92,277
  4. Step 4: Simplify right side
    242,042.22x = 33,501,622,543.92
  5. Step 5: Solve for x
    x = 33,501,622,543.92/242,042.22
  6. Step 6: Final answer
    x = 138,412.31

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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.