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Finding the Fourth Proportional to 213,013.53, 293,960.24 and 117,523.64

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Solution

The fourth proportional to 213,013.53, 293,960.24 and 117,523.64 is: 162,183.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,013.53 : 293,960.24 = 117,523.64 : x
  2. Step 2: Convert to fraction form
    213,013.53/293,960.24 = 117,523.64/x
  3. Step 3: Cross multiply
    213,013.53x = 293,960.24 × 117,523.64
  4. Step 4: Simplify right side
    213,013.53x = 34,547,278,008.07
  5. Step 5: Solve for x
    x = 34,547,278,008.07/213,013.53
  6. Step 6: Final answer
    x = 162,183.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.