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Finding the Fourth Proportional to 261,286.93, 360,579.79 and 146,590.93

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Solution

The fourth proportional to 261,286.93, 360,579.79 and 146,590.93 is: 202,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,286.93 : 360,579.79 = 146,590.93 : x
  2. Step 2: Convert to fraction form
    261,286.93/360,579.79 = 146,590.93/x
  3. Step 3: Cross multiply
    261,286.93x = 360,579.79 × 146,590.93
  4. Step 4: Simplify right side
    261,286.93x = 52,857,726,037.09
  5. Step 5: Solve for x
    x = 52,857,726,037.09/261,286.93
  6. Step 6: Final answer
    x = 202,297.63

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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.