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Finding the Fourth Proportional to 213,013.59, 293,959.70 and 117,523.09

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Solution

The fourth proportional to 213,013.59, 293,959.70 and 117,523.09 is: 162,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,013.59 : 293,959.70 = 117,523.09 : x
  2. Step 2: Convert to fraction form
    213,013.59/293,959.70 = 117,523.09/x
  3. Step 3: Cross multiply
    213,013.59x = 293,959.70 × 117,523.09
  4. Step 4: Simplify right side
    213,013.59x = 34,547,052,279.47
  5. Step 5: Solve for x
    x = 34,547,052,279.47/213,013.59
  6. Step 6: Final answer
    x = 162,182.39

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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.