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Finding the Fourth Proportional to 159,304.64, 238,992.48 and 48,505.28

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Solution

The fourth proportional to 159,304.64, 238,992.48 and 48,505.28 is: 72,768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,304.64 : 238,992.48 = 48,505.28 : x
  2. Step 2: Convert to fraction form
    159,304.64/238,992.48 = 48,505.28/x
  3. Step 3: Cross multiply
    159,304.64x = 238,992.48 × 48,505.28
  4. Step 4: Simplify right side
    159,304.64x = 11,592,397,160.29
  5. Step 5: Solve for x
    x = 11,592,397,160.29/159,304.64
  6. Step 6: Final answer
    x = 72,768.74

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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.