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Finding the Fourth Proportional to 100,164.20, 149,954.70 and 97,248.20

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Solution

The fourth proportional to 100,164.20, 149,954.70 and 97,248.20 is: 145,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,164.20 : 149,954.70 = 97,248.20 : x
  2. Step 2: Convert to fraction form
    100,164.20/149,954.70 = 97,248.20/x
  3. Step 3: Cross multiply
    100,164.20x = 149,954.70 × 97,248.20
  4. Step 4: Simplify right side
    100,164.20x = 14,582,824,656.54
  5. Step 5: Solve for x
    x = 14,582,824,656.54/100,164.20
  6. Step 6: Final answer
    x = 145,589.19

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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.