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Finding the Fourth Proportional to 213,147.72, 294,156 and 127,083.87

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Solution

The fourth proportional to 213,147.72, 294,156 and 127,083.87 is: 175,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,147.72 : 294,156 = 127,083.87 : x
  2. Step 2: Convert to fraction form
    213,147.72/294,156 = 127,083.87/x
  3. Step 3: Cross multiply
    213,147.72x = 294,156 × 127,083.87
  4. Step 4: Simplify right side
    213,147.72x = 37,382,482,863.72
  5. Step 5: Solve for x
    x = 37,382,482,863.72/213,147.72
  6. Step 6: Final answer
    x = 175,382.98

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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.