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Finding the Fourth Proportional to 164,959.30, 227,646.48 and 89,507.80

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Solution

The fourth proportional to 164,959.30, 227,646.48 and 89,507.80 is: 123,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,959.30 : 227,646.48 = 89,507.80 : x
  2. Step 2: Convert to fraction form
    164,959.30/227,646.48 = 89,507.80/x
  3. Step 3: Cross multiply
    164,959.30x = 227,646.48 × 89,507.80
  4. Step 4: Simplify right side
    164,959.30x = 20,376,135,602.54
  5. Step 5: Solve for x
    x = 20,376,135,602.54/164,959.30
  6. Step 6: Final answer
    x = 123,522.20

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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.