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Finding the Fourth Proportional to 230,106.84, 345,175.14 and 72,341.40

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Solution

The fourth proportional to 230,106.84, 345,175.14 and 72,341.40 is: 108,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,106.84 : 345,175.14 = 72,341.40 : x
  2. Step 2: Convert to fraction form
    230,106.84/345,175.14 = 72,341.40/x
  3. Step 3: Cross multiply
    230,106.84x = 345,175.14 × 72,341.40
  4. Step 4: Simplify right side
    230,106.84x = 24,970,452,872.80
  5. Step 5: Solve for x
    x = 24,970,452,872.80/230,106.84
  6. Step 6: Final answer
    x = 108,516.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.