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Finding the Fourth Proportional to 293,878.13, 440,448.25 and 158,936.81

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Solution

The fourth proportional to 293,878.13, 440,448.25 and 158,936.81 is: 238,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,878.13 : 440,448.25 = 158,936.81 : x
  2. Step 2: Convert to fraction form
    293,878.13/440,448.25 = 158,936.81/x
  3. Step 3: Cross multiply
    293,878.13x = 440,448.25 × 158,936.81
  4. Step 4: Simplify right side
    293,878.13x = 70,003,438,091.75
  5. Step 5: Solve for x
    x = 70,003,438,091.75/293,878.13
  6. Step 6: Final answer
    x = 238,205.68

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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.