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Finding the Fourth Proportional to 115,222.80, 172,834.20 and 32,116.80

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Solution

The fourth proportional to 115,222.80, 172,834.20 and 32,116.80 is: 48,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,222.80 : 172,834.20 = 32,116.80 : x
  2. Step 2: Convert to fraction form
    115,222.80/172,834.20 = 32,116.80/x
  3. Step 3: Cross multiply
    115,222.80x = 172,834.20 × 32,116.80
  4. Step 4: Simplify right side
    115,222.80x = 5,550,881,434.56
  5. Step 5: Solve for x
    x = 5,550,881,434.56/115,222.80
  6. Step 6: Final answer
    x = 48,175.20

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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.