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Finding the Fourth Proportional to 92,487.96, 138,797.28 and 83,565

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Solution

The fourth proportional to 92,487.96, 138,797.28 and 83,565 is: 125,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,487.96 : 138,797.28 = 83,565 : x
  2. Step 2: Convert to fraction form
    92,487.96/138,797.28 = 83,565/x
  3. Step 3: Cross multiply
    92,487.96x = 138,797.28 × 83,565
  4. Step 4: Simplify right side
    92,487.96x = 11,598,594,703.20
  5. Step 5: Solve for x
    x = 11,598,594,703.20/92,487.96
  6. Step 6: Final answer
    x = 125,406.54

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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.