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Finding the Fourth Proportional to 238,682.84, 357,997.52 and 61,194.02

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Solution

The fourth proportional to 238,682.84, 357,997.52 and 61,194.02 is: 91,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,682.84 : 357,997.52 = 61,194.02 : x
  2. Step 2: Convert to fraction form
    238,682.84/357,997.52 = 61,194.02/x
  3. Step 3: Cross multiply
    238,682.84x = 357,997.52 × 61,194.02
  4. Step 4: Simplify right side
    238,682.84x = 21,907,305,302.87
  5. Step 5: Solve for x
    x = 21,907,305,302.87/238,682.84
  6. Step 6: Final answer
    x = 91,784.17

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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.