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Finding the Fourth Proportional to 159,200.64, 238,792.32 and 48,384

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Solution

The fourth proportional to 159,200.64, 238,792.32 and 48,384 is: 72,573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,200.64 : 238,792.32 = 48,384 : x
  2. Step 2: Convert to fraction form
    159,200.64/238,792.32 = 48,384/x
  3. Step 3: Cross multiply
    159,200.64x = 238,792.32 × 48,384
  4. Step 4: Simplify right side
    159,200.64x = 11,553,727,610.88
  5. Step 5: Solve for x
    x = 11,553,727,610.88/159,200.64
  6. Step 6: Final answer
    x = 72,573.37

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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.