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Finding the Fourth Proportional to 164,899.70, 227,561.20 and 89,448.20

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Solution

The fourth proportional to 164,899.70, 227,561.20 and 89,448.20 is: 123,438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,899.70 : 227,561.20 = 89,448.20 : x
  2. Step 2: Convert to fraction form
    164,899.70/227,561.20 = 89,448.20/x
  3. Step 3: Cross multiply
    164,899.70x = 227,561.20 × 89,448.20
  4. Step 4: Simplify right side
    164,899.70x = 20,354,939,729.84
  5. Step 5: Solve for x
    x = 20,354,939,729.84/164,899.70
  6. Step 6: Final answer
    x = 123,438.31

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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.