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Finding the Fourth Proportional to 132,081.14, 182,224.14 and 86,783.51

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Solution

The fourth proportional to 132,081.14, 182,224.14 and 86,783.51 is: 119,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,081.14 : 182,224.14 = 86,783.51 : x
  2. Step 2: Convert to fraction form
    132,081.14/182,224.14 = 86,783.51/x
  3. Step 3: Cross multiply
    132,081.14x = 182,224.14 × 86,783.51
  4. Step 4: Simplify right side
    132,081.14x = 15,814,050,475.93
  5. Step 5: Solve for x
    x = 15,814,050,475.93/132,081.14
  6. Step 6: Final answer
    x = 119,729.82

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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.