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Finding the Fourth Proportional to 243,674.30, 365,511.45 and 103,414.70

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Solution

The fourth proportional to 243,674.30, 365,511.45 and 103,414.70 is: 155,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,674.30 : 365,511.45 = 103,414.70 : x
  2. Step 2: Convert to fraction form
    243,674.30/365,511.45 = 103,414.70/x
  3. Step 3: Cross multiply
    243,674.30x = 365,511.45 × 103,414.70
  4. Step 4: Simplify right side
    243,674.30x = 37,799,256,948.32
  5. Step 5: Solve for x
    x = 37,799,256,948.32/243,674.30
  6. Step 6: Final answer
    x = 155,122.05

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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.