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Finding the Fourth Proportional to 106,590.60, 159,809.10 and 59,857.80

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Solution

The fourth proportional to 106,590.60, 159,809.10 and 59,857.80 is: 89,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,590.60 : 159,809.10 = 59,857.80 : x
  2. Step 2: Convert to fraction form
    106,590.60/159,809.10 = 59,857.80/x
  3. Step 3: Cross multiply
    106,590.60x = 159,809.10 × 59,857.80
  4. Step 4: Simplify right side
    106,590.60x = 9,565,821,145.98
  5. Step 5: Solve for x
    x = 9,565,821,145.98/106,590.60
  6. Step 6: Final answer
    x = 89,743.57

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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.