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Finding the Fourth Proportional to 261,530.94, 360,902.07 and 148,351.26

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Solution

The fourth proportional to 261,530.94, 360,902.07 and 148,351.26 is: 204,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,530.94 : 360,902.07 = 148,351.26 : x
  2. Step 2: Convert to fraction form
    261,530.94/360,902.07 = 148,351.26/x
  3. Step 3: Cross multiply
    261,530.94x = 360,902.07 × 148,351.26
  4. Step 4: Simplify right side
    261,530.94x = 53,540,276,821.11
  5. Step 5: Solve for x
    x = 53,540,276,821.11/261,530.94
  6. Step 6: Final answer
    x = 204,718.71

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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.