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Finding the Fourth Proportional to 97,465.40, 146,198.10 and 23,593.40

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Solution

The fourth proportional to 97,465.40, 146,198.10 and 23,593.40 is: 35,390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,465.40 : 146,198.10 = 23,593.40 : x
  2. Step 2: Convert to fraction form
    97,465.40/146,198.10 = 23,593.40/x
  3. Step 3: Cross multiply
    97,465.40x = 146,198.10 × 23,593.40
  4. Step 4: Simplify right side
    97,465.40x = 3,449,310,252.54
  5. Step 5: Solve for x
    x = 3,449,310,252.54/97,465.40
  6. Step 6: Final answer
    x = 35,390.10

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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.