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Finding the Fourth Proportional to 200,150.70, 300,200.13 and 75,475.50

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Solution

The fourth proportional to 200,150.70, 300,200.13 and 75,475.50 is: 113,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,150.70 : 300,200.13 = 75,475.50 : x
  2. Step 2: Convert to fraction form
    200,150.70/300,200.13 = 75,475.50/x
  3. Step 3: Cross multiply
    200,150.70x = 300,200.13 × 75,475.50
  4. Step 4: Simplify right side
    200,150.70x = 22,657,754,911.82
  5. Step 5: Solve for x
    x = 22,657,754,911.82/200,150.70
  6. Step 6: Final answer
    x = 113,203.48

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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.