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Finding the Fourth Proportional to 164,959.80, 227,647.17 and 89,508.30

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Solution

The fourth proportional to 164,959.80, 227,647.17 and 89,508.30 is: 123,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,959.80 : 227,647.17 = 89,508.30 : x
  2. Step 2: Convert to fraction form
    164,959.80/227,647.17 = 89,508.30/x
  3. Step 3: Cross multiply
    164,959.80x = 227,647.17 × 89,508.30
  4. Step 4: Simplify right side
    164,959.80x = 20,376,311,186.51
  5. Step 5: Solve for x
    x = 20,376,311,186.51/164,959.80
  6. Step 6: Final answer
    x = 123,522.89

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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.