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Finding the Fourth Proportional to 186,834.60, 280,081.80 and 68,477.40

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Solution

The fourth proportional to 186,834.60, 280,081.80 and 68,477.40 is: 102,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,834.60 : 280,081.80 = 68,477.40 : x
  2. Step 2: Convert to fraction form
    186,834.60/280,081.80 = 68,477.40/x
  3. Step 3: Cross multiply
    186,834.60x = 280,081.80 × 68,477.40
  4. Step 4: Simplify right side
    186,834.60x = 19,179,273,451.32
  5. Step 5: Solve for x
    x = 19,179,273,451.32/186,834.60
  6. Step 6: Final answer
    x = 102,653.76

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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.