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Finding the Fourth Proportional to 217,646.28, 300,412.26 and 127,021.32

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Solution

The fourth proportional to 217,646.28, 300,412.26 and 127,021.32 is: 175,324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,646.28 : 300,412.26 = 127,021.32 : x
  2. Step 2: Convert to fraction form
    217,646.28/300,412.26 = 127,021.32/x
  3. Step 3: Cross multiply
    217,646.28x = 300,412.26 × 127,021.32
  4. Step 4: Simplify right side
    217,646.28x = 38,158,761,809.38
  5. Step 5: Solve for x
    x = 38,158,761,809.38/217,646.28
  6. Step 6: Final answer
    x = 175,324.67

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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.