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Finding the Fourth Proportional to 159,809.14, 239,651.43 and 59,914.86

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Solution

The fourth proportional to 159,809.14, 239,651.43 and 59,914.86 is: 89,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,809.14 : 239,651.43 = 59,914.86 : x
  2. Step 2: Convert to fraction form
    159,809.14/239,651.43 = 59,914.86/x
  3. Step 3: Cross multiply
    159,809.14x = 239,651.43 × 59,914.86
  4. Step 4: Simplify right side
    159,809.14x = 14,358,681,877.25
  5. Step 5: Solve for x
    x = 14,358,681,877.25/159,809.14
  6. Step 6: Final answer
    x = 89,848.94

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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.