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Finding the Fourth Proportional to 106,119.66, 159,124.71 and 31,230.09

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Solution

The fourth proportional to 106,119.66, 159,124.71 and 31,230.09 is: 46,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,119.66 : 159,124.71 = 31,230.09 : x
  2. Step 2: Convert to fraction form
    106,119.66/159,124.71 = 31,230.09/x
  3. Step 3: Cross multiply
    106,119.66x = 159,124.71 × 31,230.09
  4. Step 4: Simplify right side
    106,119.66x = 4,969,479,014.52
  5. Step 5: Solve for x
    x = 4,969,479,014.52/106,119.66
  6. Step 6: Final answer
    x = 46,829.01

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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.