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Finding the Fourth Proportional to 223,830.40, 335,707.20 and 83,516.80

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Solution

The fourth proportional to 223,830.40, 335,707.20 and 83,516.80 is: 125,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,830.40 : 335,707.20 = 83,516.80 : x
  2. Step 2: Convert to fraction form
    223,830.40/335,707.20 = 83,516.80/x
  3. Step 3: Cross multiply
    223,830.40x = 335,707.20 × 83,516.80
  4. Step 4: Simplify right side
    223,830.40x = 28,037,191,080.96
  5. Step 5: Solve for x
    x = 28,037,191,080.96/223,830.40
  6. Step 6: Final answer
    x = 125,260.87

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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.