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Finding the Fourth Proportional to 159,214.10, 238,813.34 and 59,366.48

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Solution

The fourth proportional to 159,214.10, 238,813.34 and 59,366.48 is: 89,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,214.10 : 238,813.34 = 59,366.48 : x
  2. Step 2: Convert to fraction form
    159,214.10/238,813.34 = 59,366.48/x
  3. Step 3: Cross multiply
    159,214.10x = 238,813.34 × 59,366.48
  4. Step 4: Simplify right side
    159,214.10x = 14,177,507,978.52
  5. Step 5: Solve for x
    x = 14,177,507,978.52/159,214.10
  6. Step 6: Final answer
    x = 89,046.81

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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.