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Finding the Fourth Proportional to 119,282.28, 164,609.92 and 65,572.80

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Solution

The fourth proportional to 119,282.28, 164,609.92 and 65,572.80 is: 90,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,282.28 : 164,609.92 = 65,572.80 : x
  2. Step 2: Convert to fraction form
    119,282.28/164,609.92 = 65,572.80/x
  3. Step 3: Cross multiply
    119,282.28x = 164,609.92 × 65,572.80
  4. Step 4: Simplify right side
    119,282.28x = 10,793,933,362.18
  5. Step 5: Solve for x
    x = 10,793,933,362.18/119,282.28
  6. Step 6: Final answer
    x = 90,490.67

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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.