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Finding the Fourth Proportional to 164,605, 227,154.90 and 89,154.04

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Solution

The fourth proportional to 164,605, 227,154.90 and 89,154.04 is: 123,032.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,605 : 227,154.90 = 89,154.04 : x
  2. Step 2: Convert to fraction form
    164,605/227,154.90 = 89,154.04/x
  3. Step 3: Cross multiply
    164,605x = 227,154.90 × 89,154.04
  4. Step 4: Simplify right side
    164,605x = 20,251,777,040.80
  5. Step 5: Solve for x
    x = 20,251,777,040.80/164,605
  6. Step 6: Final answer
    x = 123,032.58

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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.