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Finding the Fourth Proportional to 137,658.26, 206,443.66 and 93,568.34

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Solution

The fourth proportional to 137,658.26, 206,443.66 and 93,568.34 is: 140,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,658.26 : 206,443.66 = 93,568.34 : x
  2. Step 2: Convert to fraction form
    137,658.26/206,443.66 = 93,568.34/x
  3. Step 3: Cross multiply
    137,658.26x = 206,443.66 × 93,568.34
  4. Step 4: Simplify right side
    137,658.26x = 19,316,590,569.72
  5. Step 5: Solve for x
    x = 19,316,590,569.72/137,658.26
  6. Step 6: Final answer
    x = 140,322.79

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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.