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Finding the Fourth Proportional to 186,751.78, 280,409.85 and 149,200.38

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Solution

The fourth proportional to 186,751.78, 280,409.85 and 149,200.38 is: 224,026.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,751.78 : 280,409.85 = 149,200.38 : x
  2. Step 2: Convert to fraction form
    186,751.78/280,409.85 = 149,200.38/x
  3. Step 3: Cross multiply
    186,751.78x = 280,409.85 × 149,200.38
  4. Step 4: Simplify right side
    186,751.78x = 41,837,256,175.74
  5. Step 5: Solve for x
    x = 41,837,256,175.74/186,751.78
  6. Step 6: Final answer
    x = 224,026.01

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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.