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Finding the Fourth Proportional to 194,998.40, 292,411.20 and 89,849.60

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Solution

The fourth proportional to 194,998.40, 292,411.20 and 89,849.60 is: 134,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,998.40 : 292,411.20 = 89,849.60 : x
  2. Step 2: Convert to fraction form
    194,998.40/292,411.20 = 89,849.60/x
  3. Step 3: Cross multiply
    194,998.40x = 292,411.20 × 89,849.60
  4. Step 4: Simplify right side
    194,998.40x = 26,273,029,355.52
  5. Step 5: Solve for x
    x = 26,273,029,355.52/194,998.40
  6. Step 6: Final answer
    x = 134,734.59

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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.