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Finding the Fourth Proportional to 238,000.75, 357,094.49 and 104,787.56

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Solution

The fourth proportional to 238,000.75, 357,094.49 and 104,787.56 is: 157,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,000.75 : 357,094.49 = 104,787.56 : x
  2. Step 2: Convert to fraction form
    238,000.75/357,094.49 = 104,787.56/x
  3. Step 3: Cross multiply
    238,000.75x = 357,094.49 × 104,787.56
  4. Step 4: Simplify right side
    238,000.75x = 37,419,060,665.34
  5. Step 5: Solve for x
    x = 37,419,060,665.34/238,000.75
  6. Step 6: Final answer
    x = 157,222.45

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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.