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Finding the Fourth Proportional to 200,506.72, 300,752.40 and 67,468.64

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Solution

The fourth proportional to 200,506.72, 300,752.40 and 67,468.64 is: 101,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,506.72 : 300,752.40 = 67,468.64 : x
  2. Step 2: Convert to fraction form
    200,506.72/300,752.40 = 67,468.64/x
  3. Step 3: Cross multiply
    200,506.72x = 300,752.40 × 67,468.64
  4. Step 4: Simplify right side
    200,506.72x = 20,291,355,404.74
  5. Step 5: Solve for x
    x = 20,291,355,404.74/200,506.72
  6. Step 6: Final answer
    x = 101,200.38

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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.