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Finding the Fourth Proportional to 213,213.35, 294,239.01 and 117,726.08

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Solution

The fourth proportional to 213,213.35, 294,239.01 and 117,726.08 is: 162,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,213.35 : 294,239.01 = 117,726.08 : x
  2. Step 2: Convert to fraction form
    213,213.35/294,239.01 = 117,726.08/x
  3. Step 3: Cross multiply
    213,213.35x = 294,239.01 × 117,726.08
  4. Step 4: Simplify right side
    213,213.35x = 34,639,605,230.38
  5. Step 5: Solve for x
    x = 34,639,605,230.38/213,213.35
  6. Step 6: Final answer
    x = 162,464.52

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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.