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Finding the Fourth Proportional to 217,762.98, 326,686.59 and 75,613.38

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Solution

The fourth proportional to 217,762.98, 326,686.59 and 75,613.38 is: 113,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,762.98 : 326,686.59 = 75,613.38 : x
  2. Step 2: Convert to fraction form
    217,762.98/326,686.59 = 75,613.38/x
  3. Step 3: Cross multiply
    217,762.98x = 326,686.59 × 75,613.38
  4. Step 4: Simplify right side
    217,762.98x = 24,701,877,270.57
  5. Step 5: Solve for x
    x = 24,701,877,270.57/217,762.98
  6. Step 6: Final answer
    x = 113,434.70

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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.