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Finding the Fourth Proportional to 238,285.89, 357,323.87 and 111,962.07

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Solution

The fourth proportional to 238,285.89, 357,323.87 and 111,962.07 is: 167,893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,285.89 : 357,323.87 = 111,962.07 : x
  2. Step 2: Convert to fraction form
    238,285.89/357,323.87 = 111,962.07/x
  3. Step 3: Cross multiply
    238,285.89x = 357,323.87 × 111,962.07
  4. Step 4: Simplify right side
    238,285.89x = 40,006,720,425.52
  5. Step 5: Solve for x
    x = 40,006,720,425.52/238,285.89
  6. Step 6: Final answer
    x = 167,893.79

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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.