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Finding the Fourth Proportional to 180,200.16, 270,545.40 and 101,369.88

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Solution

The fourth proportional to 180,200.16, 270,545.40 and 101,369.88 is: 152,192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,200.16 : 270,545.40 = 101,369.88 : x
  2. Step 2: Convert to fraction form
    180,200.16/270,545.40 = 101,369.88/x
  3. Step 3: Cross multiply
    180,200.16x = 270,545.40 × 101,369.88
  4. Step 4: Simplify right side
    180,200.16x = 27,425,154,732.55
  5. Step 5: Solve for x
    x = 27,425,154,732.55/180,200.16
  6. Step 6: Final answer
    x = 152,192.73

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1.5x scale

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.