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Finding the Fourth Proportional to 92,291.98, 138,394.63 and 54,857.02

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Solution

The fourth proportional to 92,291.98, 138,394.63 and 54,857.02 is: 82,259.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,291.98 : 138,394.63 = 54,857.02 : x
  2. Step 2: Convert to fraction form
    92,291.98/138,394.63 = 54,857.02/x
  3. Step 3: Cross multiply
    92,291.98x = 138,394.63 × 54,857.02
  4. Step 4: Simplify right side
    92,291.98x = 7,591,916,985.80
  5. Step 5: Solve for x
    x = 7,591,916,985.80/92,291.98
  6. Step 6: Final answer
    x = 82,259.77

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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.