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Finding the Fourth Proportional to 213,269.52, 294,297.12 and 117,775.38

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Solution

The fourth proportional to 213,269.52, 294,297.12 and 117,775.38 is: 162,521.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,269.52 : 294,297.12 = 117,775.38 : x
  2. Step 2: Convert to fraction form
    213,269.52/294,297.12 = 117,775.38/x
  3. Step 3: Cross multiply
    213,269.52x = 294,297.12 × 117,775.38
  4. Step 4: Simplify right side
    213,269.52x = 34,660,955,140.91
  5. Step 5: Solve for x
    x = 34,660,955,140.91/213,269.52
  6. Step 6: Final answer
    x = 162,521.84

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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.