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Finding the Fourth Proportional to 223,838.80, 335,758.20 and 188,409.40

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Solution

The fourth proportional to 223,838.80, 335,758.20 and 188,409.40 is: 282,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,838.80 : 335,758.20 = 188,409.40 : x
  2. Step 2: Convert to fraction form
    223,838.80/335,758.20 = 188,409.40/x
  3. Step 3: Cross multiply
    223,838.80x = 335,758.20 × 188,409.40
  4. Step 4: Simplify right side
    223,838.80x = 63,260,001,007.08
  5. Step 5: Solve for x
    x = 63,260,001,007.08/223,838.80
  6. Step 6: Final answer
    x = 282,614.10

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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.