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Finding the Fourth Proportional to 258,171.84, 356,259.60 and 144,992.16

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Solution

The fourth proportional to 258,171.84, 356,259.60 and 144,992.16 is: 200,079.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,171.84 : 356,259.60 = 144,992.16 : x
  2. Step 2: Convert to fraction form
    258,171.84/356,259.60 = 144,992.16/x
  3. Step 3: Cross multiply
    258,171.84x = 356,259.60 × 144,992.16
  4. Step 4: Simplify right side
    258,171.84x = 51,654,848,924.74
  5. Step 5: Solve for x
    x = 51,654,848,924.74/258,171.84
  6. Step 6: Final answer
    x = 200,079.33

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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.