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Finding the Fourth Proportional to 217,151.40, 325,824.30 and 98,761.80

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Solution

The fourth proportional to 217,151.40, 325,824.30 and 98,761.80 is: 148,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,151.40 : 325,824.30 = 98,761.80 : x
  2. Step 2: Convert to fraction form
    217,151.40/325,824.30 = 98,761.80/x
  3. Step 3: Cross multiply
    217,151.40x = 325,824.30 × 98,761.80
  4. Step 4: Simplify right side
    217,151.40x = 32,178,994,351.74
  5. Step 5: Solve for x
    x = 32,178,994,351.74/217,151.40
  6. Step 6: Final answer
    x = 148,186.91

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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.