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Finding the Fourth Proportional to 97,998.88, 135,214.80 and 62,176

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Solution

The fourth proportional to 97,998.88, 135,214.80 and 62,176 is: 85,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,998.88 : 135,214.80 = 62,176 : x
  2. Step 2: Convert to fraction form
    97,998.88/135,214.80 = 62,176/x
  3. Step 3: Cross multiply
    97,998.88x = 135,214.80 × 62,176
  4. Step 4: Simplify right side
    97,998.88x = 8,407,115,404.80
  5. Step 5: Solve for x
    x = 8,407,115,404.80/97,998.88
  6. Step 6: Final answer
    x = 85,787.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.