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Finding the Fourth Proportional to 159,407.21, 239,096.16 and 48,599.21

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Solution

The fourth proportional to 159,407.21, 239,096.16 and 48,599.21 is: 72,894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,407.21 : 239,096.16 = 48,599.21 : x
  2. Step 2: Convert to fraction form
    159,407.21/239,096.16 = 48,599.21/x
  3. Step 3: Cross multiply
    159,407.21x = 239,096.16 × 48,599.21
  4. Step 4: Simplify right side
    159,407.21x = 11,619,883,294.55
  5. Step 5: Solve for x
    x = 11,619,883,294.55/159,407.21
  6. Step 6: Final answer
    x = 72,894.34

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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.