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Finding the Fourth Proportional to 261,976.84, 361,501.62 and 148,777.48

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Solution

The fourth proportional to 261,976.84, 361,501.62 and 148,777.48 is: 205,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,976.84 : 361,501.62 = 148,777.48 : x
  2. Step 2: Convert to fraction form
    261,976.84/361,501.62 = 148,777.48/x
  3. Step 3: Cross multiply
    261,976.84x = 361,501.62 × 148,777.48
  4. Step 4: Simplify right side
    261,976.84x = 53,783,300,039.52
  5. Step 5: Solve for x
    x = 53,783,300,039.52/261,976.84
  6. Step 6: Final answer
    x = 205,297.92

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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.