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Finding the Fourth Proportional to 223,865.80, 335,798.70 and 83,606.20

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Solution

The fourth proportional to 223,865.80, 335,798.70 and 83,606.20 is: 125,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,865.80 : 335,798.70 = 83,606.20 : x
  2. Step 2: Convert to fraction form
    223,865.80/335,798.70 = 83,606.20/x
  3. Step 3: Cross multiply
    223,865.80x = 335,798.70 × 83,606.20
  4. Step 4: Simplify right side
    223,865.80x = 28,074,853,271.94
  5. Step 5: Solve for x
    x = 28,074,853,271.94/223,865.80
  6. Step 6: Final answer
    x = 125,409.30

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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.