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Finding the Fourth Proportional to 223,872.75, 309,206.84 and 148,290.03

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Solution

The fourth proportional to 223,872.75, 309,206.84 and 148,290.03 is: 204,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,872.75 : 309,206.84 = 148,290.03 : x
  2. Step 2: Convert to fraction form
    223,872.75/309,206.84 = 148,290.03/x
  3. Step 3: Cross multiply
    223,872.75x = 309,206.84 × 148,290.03
  4. Step 4: Simplify right side
    223,872.75x = 45,852,290,838.36
  5. Step 5: Solve for x
    x = 45,852,290,838.36/223,872.75
  6. Step 6: Final answer
    x = 204,814.08

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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.