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Finding the Fourth Proportional to 106,569, 159,898.86 and 39,999.42

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Solution

The fourth proportional to 106,569, 159,898.86 and 39,999.42 is: 60,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,569 : 159,898.86 = 39,999.42 : x
  2. Step 2: Convert to fraction form
    106,569/159,898.86 = 39,999.42/x
  3. Step 3: Cross multiply
    106,569x = 159,898.86 × 39,999.42
  4. Step 4: Simplify right side
    106,569x = 6,395,861,658.66
  5. Step 5: Solve for x
    x = 6,395,861,658.66/106,569
  6. Step 6: Final answer
    x = 60,016.16

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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.