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Finding the Fourth Proportional to 265,564.80, 398,606.40 and 132,595.20

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Solution

The fourth proportional to 265,564.80, 398,606.40 and 132,595.20 is: 199,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,564.80 : 398,606.40 = 132,595.20 : x
  2. Step 2: Convert to fraction form
    265,564.80/398,606.40 = 132,595.20/x
  3. Step 3: Cross multiply
    265,564.80x = 398,606.40 × 132,595.20
  4. Step 4: Simplify right side
    265,564.80x = 52,853,295,329.28
  5. Step 5: Solve for x
    x = 52,853,295,329.28/265,564.80
  6. Step 6: Final answer
    x = 199,022.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.