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Finding the Fourth Proportional to 106,592.60, 159,812.10 and 59,859.80

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Solution

The fourth proportional to 106,592.60, 159,812.10 and 59,859.80 is: 89,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,592.60 : 159,812.10 = 59,859.80 : x
  2. Step 2: Convert to fraction form
    106,592.60/159,812.10 = 59,859.80/x
  3. Step 3: Cross multiply
    106,592.60x = 159,812.10 × 59,859.80
  4. Step 4: Simplify right side
    106,592.60x = 9,566,320,343.58
  5. Step 5: Solve for x
    x = 9,566,320,343.58/106,592.60
  6. Step 6: Final answer
    x = 89,746.57

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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.