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Finding the Fourth Proportional to 186,776.53, 280,355.49 and 136,707.91

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Solution

The fourth proportional to 186,776.53, 280,355.49 and 136,707.91 is: 205,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,776.53 : 280,355.49 = 136,707.91 : x
  2. Step 2: Convert to fraction form
    186,776.53/280,355.49 = 136,707.91/x
  3. Step 3: Cross multiply
    186,776.53x = 280,355.49 × 136,707.91
  4. Step 4: Simplify right side
    186,776.53x = 38,326,813,094.93
  5. Step 5: Solve for x
    x = 38,326,813,094.93/186,776.53
  6. Step 6: Final answer
    x = 205,201.44

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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.