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Finding the Fourth Proportional to 106,424.80, 146,866.24 and 61,105.74

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Solution

The fourth proportional to 106,424.80, 146,866.24 and 61,105.74 is: 84,325.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,424.80 : 146,866.24 = 61,105.74 : x
  2. Step 2: Convert to fraction form
    106,424.80/146,866.24 = 61,105.74/x
  3. Step 3: Cross multiply
    106,424.80x = 146,866.24 × 61,105.74
  4. Step 4: Simplify right side
    106,424.80x = 8,974,370,276.22
  5. Step 5: Solve for x
    x = 8,974,370,276.22/106,424.80
  6. Step 6: Final answer
    x = 84,325.93

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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.