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Finding the Fourth Proportional to 217,796.23, 326,706.63 and 77,554.86

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Solution

The fourth proportional to 217,796.23, 326,706.63 and 77,554.86 is: 116,336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,796.23 : 326,706.63 = 77,554.86 : x
  2. Step 2: Convert to fraction form
    217,796.23/326,706.63 = 77,554.86/x
  3. Step 3: Cross multiply
    217,796.23x = 326,706.63 × 77,554.86
  4. Step 4: Simplify right side
    217,796.23x = 25,337,686,950.72
  5. Step 5: Solve for x
    x = 25,337,686,950.72/217,796.23
  6. Step 6: Final answer
    x = 116,336.66

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1.5x scale

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.