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Finding the Fourth Proportional to 97,841.43, 134,938.49 and 67,578.80

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Solution

The fourth proportional to 97,841.43, 134,938.49 and 67,578.80 is: 93,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,841.43 : 134,938.49 = 67,578.80 : x
  2. Step 2: Convert to fraction form
    97,841.43/134,938.49 = 67,578.80/x
  3. Step 3: Cross multiply
    97,841.43x = 134,938.49 × 67,578.80
  4. Step 4: Simplify right side
    97,841.43x = 9,118,980,215.43
  5. Step 5: Solve for x
    x = 9,118,980,215.43/97,841.43
  6. Step 6: Final answer
    x = 93,201.62

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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.