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Finding the Fourth Proportional to 137,411.40, 205,922.70 and 84,664.20

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Solution

The fourth proportional to 137,411.40, 205,922.70 and 84,664.20 is: 126,876.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,411.40 : 205,922.70 = 84,664.20 : x
  2. Step 2: Convert to fraction form
    137,411.40/205,922.70 = 84,664.20/x
  3. Step 3: Cross multiply
    137,411.40x = 205,922.70 × 84,664.20
  4. Step 4: Simplify right side
    137,411.40x = 17,434,280,657.34
  5. Step 5: Solve for x
    x = 17,434,280,657.34/137,411.40
  6. Step 6: Final answer
    x = 126,876.52

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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.