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Finding the Fourth Proportional to 132,133.92, 182,496.30 and 87,013.68

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Solution

The fourth proportional to 132,133.92, 182,496.30 and 87,013.68 is: 120,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,133.92 : 182,496.30 = 87,013.68 : x
  2. Step 2: Convert to fraction form
    132,133.92/182,496.30 = 87,013.68/x
  3. Step 3: Cross multiply
    132,133.92x = 182,496.30 × 87,013.68
  4. Step 4: Simplify right side
    132,133.92x = 15,879,674,649.38
  5. Step 5: Solve for x
    x = 15,879,674,649.38/132,133.92
  6. Step 6: Final answer
    x = 120,178.64

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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.