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Finding the Fourth Proportional to 109,934.64, 151,709.54 and 59,633.64

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Solution

The fourth proportional to 109,934.64, 151,709.54 and 59,633.64 is: 82,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,934.64 : 151,709.54 = 59,633.64 : x
  2. Step 2: Convert to fraction form
    109,934.64/151,709.54 = 59,633.64/x
  3. Step 3: Cross multiply
    109,934.64x = 151,709.54 × 59,633.64
  4. Step 4: Simplify right side
    109,934.64x = 9,046,992,092.93
  5. Step 5: Solve for x
    x = 9,046,992,092.93/109,934.64
  6. Step 6: Final answer
    x = 82,294.28

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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.