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Finding the Fourth Proportional to 213,016.62, 293,963.92 and 117,523.28

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Solution

The fourth proportional to 213,016.62, 293,963.92 and 117,523.28 is: 162,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,016.62 : 293,963.92 = 117,523.28 : x
  2. Step 2: Convert to fraction form
    213,016.62/293,963.92 = 117,523.28/x
  3. Step 3: Cross multiply
    213,016.62x = 293,963.92 × 117,523.28
  4. Step 4: Simplify right side
    213,016.62x = 34,547,604,080.06
  5. Step 5: Solve for x
    x = 34,547,604,080.06/213,016.62
  6. Step 6: Final answer
    x = 162,182.67

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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.