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Finding the Fourth Proportional to 217,536, 326,304 and 77,300.16

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Solution

The fourth proportional to 217,536, 326,304 and 77,300.16 is: 115,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,536 : 326,304 = 77,300.16 : x
  2. Step 2: Convert to fraction form
    217,536/326,304 = 77,300.16/x
  3. Step 3: Cross multiply
    217,536x = 326,304 × 77,300.16
  4. Step 4: Simplify right side
    217,536x = 25,223,351,408.64
  5. Step 5: Solve for x
    x = 25,223,351,408.64/217,536
  6. Step 6: Final answer
    x = 115,950.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.