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Finding the Fourth Proportional to 106,065.75, 159,090.30 and 61,664.16

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Solution

The fourth proportional to 106,065.75, 159,090.30 and 61,664.16 is: 92,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,065.75 : 159,090.30 = 61,664.16 : x
  2. Step 2: Convert to fraction form
    106,065.75/159,090.30 = 61,664.16/x
  3. Step 3: Cross multiply
    106,065.75x = 159,090.30 × 61,664.16
  4. Step 4: Simplify right side
    106,065.75x = 9,810,169,713.65
  5. Step 5: Solve for x
    x = 9,810,169,713.65/106,065.75
  6. Step 6: Final answer
    x = 92,491.40

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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.