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Finding the Fourth Proportional to 138,770.33, 191,507.69 and 85,044.96

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Solution

The fourth proportional to 138,770.33, 191,507.69 and 85,044.96 is: 117,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,770.33 : 191,507.69 = 85,044.96 : x
  2. Step 2: Convert to fraction form
    138,770.33/191,507.69 = 85,044.96/x
  3. Step 3: Cross multiply
    138,770.33x = 191,507.69 × 85,044.96
  4. Step 4: Simplify right side
    138,770.33x = 16,286,764,314.51
  5. Step 5: Solve for x
    x = 16,286,764,314.51/138,770.33
  6. Step 6: Final answer
    x = 117,364.89

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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.