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Finding the Fourth Proportional to 159,830.78, 220,566.95 and 87,234.34

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Solution

The fourth proportional to 159,830.78, 220,566.95 and 87,234.34 is: 120,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,830.78 : 220,566.95 = 87,234.34 : x
  2. Step 2: Convert to fraction form
    159,830.78/220,566.95 = 87,234.34/x
  3. Step 3: Cross multiply
    159,830.78x = 220,566.95 × 87,234.34
  4. Step 4: Simplify right side
    159,830.78x = 19,241,012,927.86
  5. Step 5: Solve for x
    x = 19,241,012,927.86/159,830.78
  6. Step 6: Final answer
    x = 120,383.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.