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Finding the Fourth Proportional to 106,174.88, 159,227.44 and 47,009.28

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Solution

The fourth proportional to 106,174.88, 159,227.44 and 47,009.28 is: 70,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,174.88 : 159,227.44 = 47,009.28 : x
  2. Step 2: Convert to fraction form
    106,174.88/159,227.44 = 47,009.28/x
  3. Step 3: Cross multiply
    106,174.88x = 159,227.44 × 47,009.28
  4. Step 4: Simplify right side
    106,174.88x = 7,485,167,310.64
  5. Step 5: Solve for x
    x = 7,485,167,310.64/106,174.88
  6. Step 6: Final answer
    x = 70,498.48

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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.