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Finding the Fourth Proportional to 132,618, 183,013.20 and 73,002

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Solution

The fourth proportional to 132,618, 183,013.20 and 73,002 is: 100,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,618 : 183,013.20 = 73,002 : x
  2. Step 2: Convert to fraction form
    132,618/183,013.20 = 73,002/x
  3. Step 3: Cross multiply
    132,618x = 183,013.20 × 73,002
  4. Step 4: Simplify right side
    132,618x = 13,360,329,626.40
  5. Step 5: Solve for x
    x = 13,360,329,626.40/132,618
  6. Step 6: Final answer
    x = 100,742.96

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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.