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Finding the Fourth Proportional to 159,515.64, 239,258.76 and 48,707.64

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Solution

The fourth proportional to 159,515.64, 239,258.76 and 48,707.64 is: 73,056.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,515.64 : 239,258.76 = 48,707.64 : x
  2. Step 2: Convert to fraction form
    159,515.64/239,258.76 = 48,707.64/x
  3. Step 3: Cross multiply
    159,515.64x = 239,258.76 × 48,707.64
  4. Step 4: Simplify right side
    159,515.64x = 11,653,729,548.93
  5. Step 5: Solve for x
    x = 11,653,729,548.93/159,515.64
  6. Step 6: Final answer
    x = 73,056.97

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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.