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Finding the Fourth Proportional to 164,552.66, 227,082.69 and 89,101.16

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Solution

The fourth proportional to 164,552.66, 227,082.69 and 89,101.16 is: 122,959.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,552.66 : 227,082.69 = 89,101.16 : x
  2. Step 2: Convert to fraction form
    164,552.66/227,082.69 = 89,101.16/x
  3. Step 3: Cross multiply
    164,552.66x = 227,082.69 × 89,101.16
  4. Step 4: Simplify right side
    164,552.66x = 20,233,329,959.51
  5. Step 5: Solve for x
    x = 20,233,329,959.51/164,552.66
  6. Step 6: Final answer
    x = 122,959.61

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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.