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Finding the Fourth Proportional to 175,854.30, 263,781.42 and 42,733.63

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Solution

The fourth proportional to 175,854.30, 263,781.42 and 42,733.63 is: 64,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,854.30 : 263,781.42 = 42,733.63 : x
  2. Step 2: Convert to fraction form
    175,854.30/263,781.42 = 42,733.63/x
  3. Step 3: Cross multiply
    175,854.30x = 263,781.42 × 42,733.63
  4. Step 4: Simplify right side
    175,854.30x = 11,272,337,603.15
  5. Step 5: Solve for x
    x = 11,272,337,603.15/175,854.30
  6. Step 6: Final answer
    x = 64,100.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.