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Finding the Fourth Proportional to 164,820.69, 227,452.68 and 89,369.19

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Solution

The fourth proportional to 164,820.69, 227,452.68 and 89,369.19 is: 123,329.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,820.69 : 227,452.68 = 89,369.19 : x
  2. Step 2: Convert to fraction form
    164,820.69/227,452.68 = 89,369.19/x
  3. Step 3: Cross multiply
    164,820.69x = 227,452.68 × 89,369.19
  4. Step 4: Simplify right side
    164,820.69x = 20,327,261,774.93
  5. Step 5: Solve for x
    x = 20,327,261,774.93/164,820.69
  6. Step 6: Final answer
    x = 123,329.55

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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.