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Finding the Fourth Proportional to 106,522.65, 147,054.56 and 66,249.41

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Solution

The fourth proportional to 106,522.65, 147,054.56 and 66,249.41 is: 91,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,522.65 : 147,054.56 = 66,249.41 : x
  2. Step 2: Convert to fraction form
    106,522.65/147,054.56 = 66,249.41/x
  3. Step 3: Cross multiply
    106,522.65x = 147,054.56 × 66,249.41
  4. Step 4: Simplify right side
    106,522.65x = 9,742,276,771.29
  5. Step 5: Solve for x
    x = 9,742,276,771.29/106,522.65
  6. Step 6: Final answer
    x = 91,457.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.