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Finding the Fourth Proportional to 159,114.49, 238,679.21 and 52,507.76

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Solution

The fourth proportional to 159,114.49, 238,679.21 and 52,507.76 is: 78,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,114.49 : 238,679.21 = 52,507.76 : x
  2. Step 2: Convert to fraction form
    159,114.49/238,679.21 = 52,507.76/x
  3. Step 3: Cross multiply
    159,114.49x = 238,679.21 × 52,507.76
  4. Step 4: Simplify right side
    159,114.49x = 12,532,509,653.83
  5. Step 5: Solve for x
    x = 12,532,509,653.83/159,114.49
  6. Step 6: Final answer
    x = 78,764.10

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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.