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Finding the Fourth Proportional to 238,438.86, 357,579.32 and 96,247.42

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Solution

The fourth proportional to 238,438.86, 357,579.32 and 96,247.42 is: 144,339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,438.86 : 357,579.32 = 96,247.42 : x
  2. Step 2: Convert to fraction form
    238,438.86/357,579.32 = 96,247.42/x
  3. Step 3: Cross multiply
    238,438.86x = 357,579.32 × 96,247.42
  4. Step 4: Simplify right side
    238,438.86x = 34,416,086,995.35
  5. Step 5: Solve for x
    x = 34,416,086,995.35/238,438.86
  6. Step 6: Final answer
    x = 144,339.25

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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.