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Finding the Fourth Proportional to 164,656.36, 227,213.22 and 100,116.63

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Solution

The fourth proportional to 164,656.36, 227,213.22 and 100,116.63 is: 138,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,656.36 : 227,213.22 = 100,116.63 : x
  2. Step 2: Convert to fraction form
    164,656.36/227,213.22 = 100,116.63/x
  3. Step 3: Cross multiply
    164,656.36x = 227,213.22 × 100,116.63
  4. Step 4: Simplify right side
    164,656.36x = 22,747,821,877.85
  5. Step 5: Solve for x
    x = 22,747,821,877.85/164,656.36
  6. Step 6: Final answer
    x = 138,153.32

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1.5x scale

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.