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Finding the Fourth Proportional to 258,004.84, 356,046.42 and 144,827.80

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Solution

The fourth proportional to 258,004.84, 356,046.42 and 144,827.80 is: 199,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,004.84 : 356,046.42 = 144,827.80 : x
  2. Step 2: Convert to fraction form
    258,004.84/356,046.42 = 144,827.80/x
  3. Step 3: Cross multiply
    258,004.84x = 356,046.42 × 144,827.80
  4. Step 4: Simplify right side
    258,004.84x = 51,565,419,706.48
  5. Step 5: Solve for x
    x = 51,565,419,706.48/258,004.84
  6. Step 6: Final answer
    x = 199,862.22

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1.5x scale

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.