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Finding the Fourth Proportional to 92,293.98, 138,397.64 and 54,859.02

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Solution

The fourth proportional to 92,293.98, 138,397.64 and 54,859.02 is: 82,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,293.98 : 138,397.64 = 54,859.02 : x
  2. Step 2: Convert to fraction form
    92,293.98/138,397.64 = 54,859.02/x
  3. Step 3: Cross multiply
    92,293.98x = 138,397.64 × 54,859.02
  4. Step 4: Simplify right side
    92,293.98x = 7,592,358,626.42
  5. Step 5: Solve for x
    x = 7,592,358,626.42/92,293.98
  6. Step 6: Final answer
    x = 82,262.77

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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.