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Finding the Fourth Proportional to 230,098.90, 344,943.15 and 89,824.90

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Solution

The fourth proportional to 230,098.90, 344,943.15 and 89,824.90 is: 134,657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,098.90 : 344,943.15 = 89,824.90 : x
  2. Step 2: Convert to fraction form
    230,098.90/344,943.15 = 89,824.90/x
  3. Step 3: Cross multiply
    230,098.90x = 344,943.15 × 89,824.90
  4. Step 4: Simplify right side
    230,098.90x = 30,984,483,954.44
  5. Step 5: Solve for x
    x = 30,984,483,954.44/230,098.90
  6. Step 6: Final answer
    x = 134,657.25

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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.