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Finding the Fourth Proportional to 92,233.40, 138,350.10 and 54,908.60

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Solution

The fourth proportional to 92,233.40, 138,350.10 and 54,908.60 is: 82,362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,233.40 : 138,350.10 = 54,908.60 : x
  2. Step 2: Convert to fraction form
    92,233.40/138,350.10 = 54,908.60/x
  3. Step 3: Cross multiply
    92,233.40x = 138,350.10 × 54,908.60
  4. Step 4: Simplify right side
    92,233.40x = 7,596,610,300.86
  5. Step 5: Solve for x
    x = 7,596,610,300.86/92,233.40
  6. Step 6: Final answer
    x = 82,362.90

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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.