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Finding the Fourth Proportional to 234,281.25, 323,295.34 and 137,472.07

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Solution

The fourth proportional to 234,281.25, 323,295.34 and 137,472.07 is: 189,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,281.25 : 323,295.34 = 137,472.07 : x
  2. Step 2: Convert to fraction form
    234,281.25/323,295.34 = 137,472.07/x
  3. Step 3: Cross multiply
    234,281.25x = 323,295.34 × 137,472.07
  4. Step 4: Simplify right side
    234,281.25x = 44,444,079,611.15
  5. Step 5: Solve for x
    x = 44,444,079,611.15/234,281.25
  6. Step 6: Final answer
    x = 189,703.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.