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Finding the Fourth Proportional to 106,791.21, 147,368.26 and 61,462.90

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Solution

The fourth proportional to 106,791.21, 147,368.26 and 61,462.90 is: 84,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,791.21 : 147,368.26 = 61,462.90 : x
  2. Step 2: Convert to fraction form
    106,791.21/147,368.26 = 61,462.90/x
  3. Step 3: Cross multiply
    106,791.21x = 147,368.26 × 61,462.90
  4. Step 4: Simplify right side
    106,791.21x = 9,057,680,888.59
  5. Step 5: Solve for x
    x = 9,057,680,888.59/106,791.21
  6. Step 6: Final answer
    x = 84,816.73

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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.