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Finding the Fourth Proportional to 261,658.43, 360,994.16 and 148,415.57

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Solution

The fourth proportional to 261,658.43, 360,994.16 and 148,415.57 is: 204,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,658.43 : 360,994.16 = 148,415.57 : x
  2. Step 2: Convert to fraction form
    261,658.43/360,994.16 = 148,415.57/x
  3. Step 3: Cross multiply
    261,658.43x = 360,994.16 × 148,415.57
  4. Step 4: Simplify right side
    261,658.43x = 53,577,153,280.99
  5. Step 5: Solve for x
    x = 53,577,153,280.99/261,658.43
  6. Step 6: Final answer
    x = 204,759.90

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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.