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Finding the Fourth Proportional to 261,640.59, 361,067.80 and 146,944.06

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Solution

The fourth proportional to 261,640.59, 361,067.80 and 146,944.06 is: 202,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,640.59 : 361,067.80 = 146,944.06 : x
  2. Step 2: Convert to fraction form
    261,640.59/361,067.80 = 146,944.06/x
  3. Step 3: Cross multiply
    261,640.59x = 361,067.80 × 146,944.06
  4. Step 4: Simplify right side
    261,640.59x = 53,056,768,467.27
  5. Step 5: Solve for x
    x = 53,056,768,467.27/261,640.59
  6. Step 6: Final answer
    x = 202,784.93

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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.