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Finding the Fourth Proportional to 164,656.74, 227,226.54 and 89,205.24

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Solution

The fourth proportional to 164,656.74, 227,226.54 and 89,205.24 is: 123,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,656.74 : 227,226.54 = 89,205.24 : x
  2. Step 2: Convert to fraction form
    164,656.74/227,226.54 = 89,205.24/x
  3. Step 3: Cross multiply
    164,656.74x = 227,226.54 × 89,205.24
  4. Step 4: Simplify right side
    164,656.74x = 20,269,798,035.07
  5. Step 5: Solve for x
    x = 20,269,798,035.07/164,656.74
  6. Step 6: Final answer
    x = 123,103.36

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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.