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Finding the Fourth Proportional to 238,589.55, 357,865.70 and 105,474.15

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Solution

The fourth proportional to 238,589.55, 357,865.70 and 105,474.15 is: 158,202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,589.55 : 357,865.70 = 105,474.15 : x
  2. Step 2: Convert to fraction form
    238,589.55/357,865.70 = 105,474.15/x
  3. Step 3: Cross multiply
    238,589.55x = 357,865.70 × 105,474.15
  4. Step 4: Simplify right side
    238,589.55x = 37,745,579,994.28
  5. Step 5: Solve for x
    x = 37,745,579,994.28/238,589.55
  6. Step 6: Final answer
    x = 158,202.99

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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.