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Finding the Fourth Proportional to 200,144.40, 299,487.60 and 147,656.40

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Solution

The fourth proportional to 200,144.40, 299,487.60 and 147,656.40 is: 220,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,144.40 : 299,487.60 = 147,656.40 : x
  2. Step 2: Convert to fraction form
    200,144.40/299,487.60 = 147,656.40/x
  3. Step 3: Cross multiply
    200,144.40x = 299,487.60 × 147,656.40
  4. Step 4: Simplify right side
    200,144.40x = 44,221,260,860.64
  5. Step 5: Solve for x
    x = 44,221,260,860.64/200,144.40
  6. Step 6: Final answer
    x = 220,946.78

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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.