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Finding the Fourth Proportional to 119,191.12, 164,414.98 and 71,416.79

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Solution

The fourth proportional to 119,191.12, 164,414.98 and 71,416.79 is: 98,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,191.12 : 164,414.98 = 71,416.79 : x
  2. Step 2: Convert to fraction form
    119,191.12/164,414.98 = 71,416.79/x
  3. Step 3: Cross multiply
    119,191.12x = 164,414.98 × 71,416.79
  4. Step 4: Simplify right side
    119,191.12x = 11,741,990,099.51
  5. Step 5: Solve for x
    x = 11,741,990,099.51/119,191.12
  6. Step 6: Final answer
    x = 98,513.97

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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.