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Finding the Fourth Proportional to 132,178.82, 182,477.85 and 101,897.78

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Solution

The fourth proportional to 132,178.82, 182,477.85 and 101,897.78 is: 140,673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,178.82 : 182,477.85 = 101,897.78 : x
  2. Step 2: Convert to fraction form
    132,178.82/182,477.85 = 101,897.78/x
  3. Step 3: Cross multiply
    132,178.82x = 182,477.85 × 101,897.78
  4. Step 4: Simplify right side
    132,178.82x = 18,594,087,814.17
  5. Step 5: Solve for x
    x = 18,594,087,814.17/132,178.82
  6. Step 6: Final answer
    x = 140,673.73

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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.