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Finding the Fourth Proportional to 217,756.23, 326,681.01 and 75,606

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Solution

The fourth proportional to 217,756.23, 326,681.01 and 75,606 is: 113,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,756.23 : 326,681.01 = 75,606 : x
  2. Step 2: Convert to fraction form
    217,756.23/326,681.01 = 75,606/x
  3. Step 3: Cross multiply
    217,756.23x = 326,681.01 × 75,606
  4. Step 4: Simplify right side
    217,756.23x = 24,699,044,442.06
  5. Step 5: Solve for x
    x = 24,699,044,442.06/217,756.23
  6. Step 6: Final answer
    x = 113,425.20

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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.