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Finding the Fourth Proportional to 186,774.39, 280,123.92 and 68,405.31

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Solution

The fourth proportional to 186,774.39, 280,123.92 and 68,405.31 is: 102,594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,774.39 : 280,123.92 = 68,405.31 : x
  2. Step 2: Convert to fraction form
    186,774.39/280,123.92 = 68,405.31/x
  3. Step 3: Cross multiply
    186,774.39x = 280,123.92 × 68,405.31
  4. Step 4: Simplify right side
    186,774.39x = 19,161,963,586.02
  5. Step 5: Solve for x
    x = 19,161,963,586.02/186,774.39
  6. Step 6: Final answer
    x = 102,594.17

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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.