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Finding the Fourth Proportional to 175,469.62, 242,149.54 and 100,022.98

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Solution

The fourth proportional to 175,469.62, 242,149.54 and 100,022.98 is: 138,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,469.62 : 242,149.54 = 100,022.98 : x
  2. Step 2: Convert to fraction form
    175,469.62/242,149.54 = 100,022.98/x
  3. Step 3: Cross multiply
    175,469.62x = 242,149.54 × 100,022.98
  4. Step 4: Simplify right side
    175,469.62x = 24,220,518,596.43
  5. Step 5: Solve for x
    x = 24,220,518,596.43/175,469.62
  6. Step 6: Final answer
    x = 138,032.55

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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.