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Finding the Fourth Proportional to 200,029.88, 299,728.82 and 162,406.14

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Solution

The fourth proportional to 200,029.88, 299,728.82 and 162,406.14 is: 243,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,029.88 : 299,728.82 = 162,406.14 : x
  2. Step 2: Convert to fraction form
    200,029.88/299,728.82 = 162,406.14/x
  3. Step 3: Cross multiply
    200,029.88x = 299,728.82 × 162,406.14
  4. Step 4: Simplify right side
    200,029.88x = 48,677,799,451.39
  5. Step 5: Solve for x
    x = 48,677,799,451.39/200,029.88
  6. Step 6: Final answer
    x = 243,352.64

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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.