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Finding the Fourth Proportional to 204,594, 282,263.26 and 204,278.56

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Solution

The fourth proportional to 204,594, 282,263.26 and 204,278.56 is: 281,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,594 : 282,263.26 = 204,278.56 : x
  2. Step 2: Convert to fraction form
    204,594/282,263.26 = 204,278.56/x
  3. Step 3: Cross multiply
    204,594x = 282,263.26 × 204,278.56
  4. Step 4: Simplify right side
    204,594x = 57,660,332,293.71
  5. Step 5: Solve for x
    x = 57,660,332,293.71/204,594
  6. Step 6: Final answer
    x = 281,828.07

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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.