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Finding the Fourth Proportional to 159,327.78, 238,935.98 and 46,978.18

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Solution

The fourth proportional to 159,327.78, 238,935.98 and 46,978.18 is: 70,450.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,327.78 : 238,935.98 = 46,978.18 : x
  2. Step 2: Convert to fraction form
    159,327.78/238,935.98 = 46,978.18/x
  3. Step 3: Cross multiply
    159,327.78x = 238,935.98 × 46,978.18
  4. Step 4: Simplify right side
    159,327.78x = 11,224,777,476.92
  5. Step 5: Solve for x
    x = 11,224,777,476.92/159,327.78
  6. Step 6: Final answer
    x = 70,450.85

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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.