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Finding the Fourth Proportional to 146,574.80, 219,862.20 and 137,826.80

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Solution

The fourth proportional to 146,574.80, 219,862.20 and 137,826.80 is: 206,740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,574.80 : 219,862.20 = 137,826.80 : x
  2. Step 2: Convert to fraction form
    146,574.80/219,862.20 = 137,826.80/x
  3. Step 3: Cross multiply
    146,574.80x = 219,862.20 × 137,826.80
  4. Step 4: Simplify right side
    146,574.80x = 30,302,903,466.96
  5. Step 5: Solve for x
    x = 30,302,903,466.96/146,574.80
  6. Step 6: Final answer
    x = 206,740.20

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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.