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Finding the Fourth Proportional to 106,364.72, 146,790.22 and 61,057.38

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Solution

The fourth proportional to 106,364.72, 146,790.22 and 61,057.38 is: 84,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,364.72 : 146,790.22 = 61,057.38 : x
  2. Step 2: Convert to fraction form
    106,364.72/146,790.22 = 61,057.38/x
  3. Step 3: Cross multiply
    106,364.72x = 146,790.22 × 61,057.38
  4. Step 4: Simplify right side
    106,364.72x = 8,962,626,242.82
  5. Step 5: Solve for x
    x = 8,962,626,242.82/106,364.72
  6. Step 6: Final answer
    x = 84,263.15

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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.