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Finding the Fourth Proportional to 258,220.80, 387,523.20 and 133,497.60

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Solution

The fourth proportional to 258,220.80, 387,523.20 and 133,497.60 is: 200,345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,220.80 : 387,523.20 = 133,497.60 : x
  2. Step 2: Convert to fraction form
    258,220.80/387,523.20 = 133,497.60/x
  3. Step 3: Cross multiply
    258,220.80x = 387,523.20 × 133,497.60
  4. Step 4: Simplify right side
    258,220.80x = 51,733,417,144.32
  5. Step 5: Solve for x
    x = 51,733,417,144.32/258,220.80
  6. Step 6: Final answer
    x = 200,345.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.