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Finding the Fourth Proportional to 106,563.71, 159,762.94 and 69,044.51

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Solution

The fourth proportional to 106,563.71, 159,762.94 and 69,044.51 is: 103,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,563.71 : 159,762.94 = 69,044.51 : x
  2. Step 2: Convert to fraction form
    106,563.71/159,762.94 = 69,044.51/x
  3. Step 3: Cross multiply
    106,563.71x = 159,762.94 × 69,044.51
  4. Step 4: Simplify right side
    106,563.71x = 11,030,753,908.46
  5. Step 5: Solve for x
    x = 11,030,753,908.46/106,563.71
  6. Step 6: Final answer
    x = 103,513.23

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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.