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Finding the Fourth Proportional to 200,294.64, 300,498.48 and 100,334.16

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Solution

The fourth proportional to 200,294.64, 300,498.48 and 100,334.16 is: 150,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,294.64 : 300,498.48 = 100,334.16 : x
  2. Step 2: Convert to fraction form
    200,294.64/300,498.48 = 100,334.16/x
  3. Step 3: Cross multiply
    200,294.64x = 300,498.48 × 100,334.16
  4. Step 4: Simplify right side
    200,294.64x = 30,150,262,572.08
  5. Step 5: Solve for x
    x = 30,150,262,572.08/200,294.64
  6. Step 6: Final answer
    x = 150,529.55

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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.