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Finding the Fourth Proportional to 213,328.38, 294,390.18 and 116,531.09

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Solution

The fourth proportional to 213,328.38, 294,390.18 and 116,531.09 is: 160,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,328.38 : 294,390.18 = 116,531.09 : x
  2. Step 2: Convert to fraction form
    213,328.38/294,390.18 = 116,531.09/x
  3. Step 3: Cross multiply
    213,328.38x = 294,390.18 × 116,531.09
  4. Step 4: Simplify right side
    213,328.38x = 34,305,608,192.71
  5. Step 5: Solve for x
    x = 34,305,608,192.71/213,328.38
  6. Step 6: Final answer
    x = 160,811.27

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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.