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Finding the Fourth Proportional to 217,229.32, 299,776.50 and 132,346.36

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Solution

The fourth proportional to 217,229.32, 299,776.50 and 132,346.36 is: 182,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,229.32 : 299,776.50 = 132,346.36 : x
  2. Step 2: Convert to fraction form
    217,229.32/299,776.50 = 132,346.36/x
  3. Step 3: Cross multiply
    217,229.32x = 299,776.50 × 132,346.36
  4. Step 4: Simplify right side
    217,229.32x = 39,674,328,588.54
  5. Step 5: Solve for x
    x = 39,674,328,588.54/217,229.32
  6. Step 6: Final answer
    x = 182,638.00

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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.