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Finding the Fourth Proportional to 106,004.40, 158,907.78 and 35,834.64

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Solution

The fourth proportional to 106,004.40, 158,907.78 and 35,834.64 is: 53,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,004.40 : 158,907.78 = 35,834.64 : x
  2. Step 2: Convert to fraction form
    106,004.40/158,907.78 = 35,834.64/x
  3. Step 3: Cross multiply
    106,004.40x = 158,907.78 × 35,834.64
  4. Step 4: Simplify right side
    106,004.40x = 5,694,403,089.50
  5. Step 5: Solve for x
    x = 5,694,403,089.50/106,004.40
  6. Step 6: Final answer
    x = 53,718.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.