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Finding the Fourth Proportional to 186,901.88, 257,834.78 and 122,342.65

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Solution

The fourth proportional to 186,901.88, 257,834.78 and 122,342.65 is: 168,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,901.88 : 257,834.78 = 122,342.65 : x
  2. Step 2: Convert to fraction form
    186,901.88/257,834.78 = 122,342.65/x
  3. Step 3: Cross multiply
    186,901.88x = 257,834.78 × 122,342.65
  4. Step 4: Simplify right side
    186,901.88x = 31,544,189,449.85
  5. Step 5: Solve for x
    x = 31,544,189,449.85/186,901.88
  6. Step 6: Final answer
    x = 168,774.07

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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.