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Finding the Fourth Proportional to 106,457.52, 146,906.40 and 61,104

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Solution

The fourth proportional to 106,457.52, 146,906.40 and 61,104 is: 84,320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,457.52 : 146,906.40 = 61,104 : x
  2. Step 2: Convert to fraction form
    106,457.52/146,906.40 = 61,104/x
  3. Step 3: Cross multiply
    106,457.52x = 146,906.40 × 61,104
  4. Step 4: Simplify right side
    106,457.52x = 8,976,568,665.60
  5. Step 5: Solve for x
    x = 8,976,568,665.60/106,457.52
  6. Step 6: Final answer
    x = 84,320.66

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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.