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Finding the Fourth Proportional to 242,608.25, 363,934.25 and 92,842.49

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Solution

The fourth proportional to 242,608.25, 363,934.25 and 92,842.49 is: 139,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,608.25 : 363,934.25 = 92,842.49 : x
  2. Step 2: Convert to fraction form
    242,608.25/363,934.25 = 92,842.49/x
  3. Step 3: Cross multiply
    242,608.25x = 363,934.25 × 92,842.49
  4. Step 4: Simplify right side
    242,608.25x = 33,788,559,682.40
  5. Step 5: Solve for x
    x = 33,788,559,682.40/242,608.25
  6. Step 6: Final answer
    x = 139,272.10

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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.