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Finding the Fourth Proportional to 164,978.04, 227,668.14 and 89,524.92

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Solution

The fourth proportional to 164,978.04, 227,668.14 and 89,524.92 is: 123,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,978.04 : 227,668.14 = 89,524.92 : x
  2. Step 2: Convert to fraction form
    164,978.04/227,668.14 = 89,524.92/x
  3. Step 3: Cross multiply
    164,978.04x = 227,668.14 × 89,524.92
  4. Step 4: Simplify right side
    164,978.04x = 20,381,972,020.05
  5. Step 5: Solve for x
    x = 20,381,972,020.05/164,978.04
  6. Step 6: Final answer
    x = 123,543.55

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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.