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Finding the Fourth Proportional to 186,804.91, 280,397.97 and 136,736.28

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Solution

The fourth proportional to 186,804.91, 280,397.97 and 136,736.28 is: 205,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,804.91 : 280,397.97 = 136,736.28 : x
  2. Step 2: Convert to fraction form
    186,804.91/280,397.97 = 136,736.28/x
  3. Step 3: Cross multiply
    186,804.91x = 280,397.97 × 136,736.28
  4. Step 4: Simplify right side
    186,804.91x = 38,340,575,337.35
  5. Step 5: Solve for x
    x = 38,340,575,337.35/186,804.91
  6. Step 6: Final answer
    x = 205,243.94

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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.