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Finding the Fourth Proportional to 213,570.82, 294,726.09 and 118,081.54

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Solution

The fourth proportional to 213,570.82, 294,726.09 and 118,081.54 is: 162,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,570.82 : 294,726.09 = 118,081.54 : x
  2. Step 2: Convert to fraction form
    213,570.82/294,726.09 = 118,081.54/x
  3. Step 3: Cross multiply
    213,570.82x = 294,726.09 × 118,081.54
  4. Step 4: Simplify right side
    213,570.82x = 34,801,710,585.38
  5. Step 5: Solve for x
    x = 34,801,710,585.38/213,570.82
  6. Step 6: Final answer
    x = 162,951.62

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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.