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Finding the Fourth Proportional to 164,596, 227,142.48 and 89,145.04

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Solution

The fourth proportional to 164,596, 227,142.48 and 89,145.04 is: 123,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,596 : 227,142.48 = 89,145.04 : x
  2. Step 2: Convert to fraction form
    164,596/227,142.48 = 89,145.04/x
  3. Step 3: Cross multiply
    164,596x = 227,142.48 × 89,145.04
  4. Step 4: Simplify right side
    164,596x = 20,248,625,465.30
  5. Step 5: Solve for x
    x = 20,248,625,465.30/164,596
  6. Step 6: Final answer
    x = 123,020.16

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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.