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Finding the Fourth Proportional to 100,168.20, 149,960.70 and 97,252.20

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Solution

The fourth proportional to 100,168.20, 149,960.70 and 97,252.20 is: 145,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,168.20 : 149,960.70 = 97,252.20 : x
  2. Step 2: Convert to fraction form
    100,168.20/149,960.70 = 97,252.20/x
  3. Step 3: Cross multiply
    100,168.20x = 149,960.70 × 97,252.20
  4. Step 4: Simplify right side
    100,168.20x = 14,584,007,988.54
  5. Step 5: Solve for x
    x = 14,584,007,988.54/100,168.20
  6. Step 6: Final answer
    x = 145,595.19

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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.