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Finding the Fourth Proportional to 106,858.24, 160,298.24 and 36,728.48

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Solution

The fourth proportional to 106,858.24, 160,298.24 and 36,728.48 is: 55,096.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,858.24 : 160,298.24 = 36,728.48 : x
  2. Step 2: Convert to fraction form
    106,858.24/160,298.24 = 36,728.48/x
  3. Step 3: Cross multiply
    106,858.24x = 160,298.24 × 36,728.48
  4. Step 4: Simplify right side
    106,858.24x = 5,887,510,701.88
  5. Step 5: Solve for x
    x = 5,887,510,701.88/106,858.24
  6. Step 6: Final answer
    x = 55,096.46

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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.