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Finding the Fourth Proportional to 159,079.98, 238,569.27 and 52,444.07

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Solution

The fourth proportional to 159,079.98, 238,569.27 and 52,444.07 is: 78,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,079.98 : 238,569.27 = 52,444.07 : x
  2. Step 2: Convert to fraction form
    159,079.98/238,569.27 = 52,444.07/x
  3. Step 3: Cross multiply
    159,079.98x = 238,569.27 × 52,444.07
  4. Step 4: Simplify right side
    159,079.98x = 12,511,543,000.85
  5. Step 5: Solve for x
    x = 12,511,543,000.85/159,079.98
  6. Step 6: Final answer
    x = 78,649.39

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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.