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Finding the Fourth Proportional to 200,924.99, 301,387.54 and 156,584.96

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Solution

The fourth proportional to 200,924.99, 301,387.54 and 156,584.96 is: 234,877.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,924.99 : 301,387.54 = 156,584.96 : x
  2. Step 2: Convert to fraction form
    200,924.99/301,387.54 = 156,584.96/x
  3. Step 3: Cross multiply
    200,924.99x = 301,387.54 × 156,584.96
  4. Step 4: Simplify right side
    200,924.99x = 47,192,755,112.47
  5. Step 5: Solve for x
    x = 47,192,755,112.47/200,924.99
  6. Step 6: Final answer
    x = 234,877.48

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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.