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Finding the Fourth Proportional to 92,230.25, 138,345.38 and 71,200.98

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Solution

The fourth proportional to 92,230.25, 138,345.38 and 71,200.98 is: 106,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,230.25 : 138,345.38 = 71,200.98 : x
  2. Step 2: Convert to fraction form
    92,230.25/138,345.38 = 71,200.98/x
  3. Step 3: Cross multiply
    92,230.25x = 138,345.38 × 71,200.98
  4. Step 4: Simplify right side
    92,230.25x = 9,850,326,278.47
  5. Step 5: Solve for x
    x = 9,850,326,278.47/92,230.25
  6. Step 6: Final answer
    x = 106,801.48

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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.