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Finding the Fourth Proportional to 180,271.71, 270,170.91 and 132,663.87

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Solution

The fourth proportional to 180,271.71, 270,170.91 and 132,663.87 is: 198,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,271.71 : 270,170.91 = 132,663.87 : x
  2. Step 2: Convert to fraction form
    180,271.71/270,170.91 = 132,663.87/x
  3. Step 3: Cross multiply
    180,271.71x = 270,170.91 × 132,663.87
  4. Step 4: Simplify right side
    180,271.71x = 35,841,918,482.02
  5. Step 5: Solve for x
    x = 35,841,918,482.02/180,271.71
  6. Step 6: Final answer
    x = 198,821.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.