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Finding the Fourth Proportional to 109,658.82, 151,336.17 and 61,894.74

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Solution

The fourth proportional to 109,658.82, 151,336.17 and 61,894.74 is: 85,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,658.82 : 151,336.17 = 61,894.74 : x
  2. Step 2: Convert to fraction form
    109,658.82/151,336.17 = 61,894.74/x
  3. Step 3: Cross multiply
    109,658.82x = 151,336.17 × 61,894.74
  4. Step 4: Simplify right side
    109,658.82x = 9,366,912,894.75
  5. Step 5: Solve for x
    x = 9,366,912,894.75/109,658.82
  6. Step 6: Final answer
    x = 85,418.69

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1.5x scale

Why These Related Problems?

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