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Finding the Fourth Proportional to 106,594.60, 159,815.10 and 59,861.80

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Solution

The fourth proportional to 106,594.60, 159,815.10 and 59,861.80 is: 89,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,594.60 : 159,815.10 = 59,861.80 : x
  2. Step 2: Convert to fraction form
    106,594.60/159,815.10 = 59,861.80/x
  3. Step 3: Cross multiply
    106,594.60x = 159,815.10 × 59,861.80
  4. Step 4: Simplify right side
    106,594.60x = 9,566,819,553.18
  5. Step 5: Solve for x
    x = 9,566,819,553.18/106,594.60
  6. Step 6: Final answer
    x = 89,749.57

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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.