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Finding the Fourth Proportional to 152,156.88, 209,952 and 95,644.80

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Solution

The fourth proportional to 152,156.88, 209,952 and 95,644.80 is: 131,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,156.88 : 209,952 = 95,644.80 : x
  2. Step 2: Convert to fraction form
    152,156.88/209,952 = 95,644.80/x
  3. Step 3: Cross multiply
    152,156.88x = 209,952 × 95,644.80
  4. Step 4: Simplify right side
    152,156.88x = 20,080,817,049.60
  5. Step 5: Solve for x
    x = 20,080,817,049.60/152,156.88
  6. Step 6: Final answer
    x = 131,974.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.