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Finding the Fourth Proportional to 106,433.82, 146,726.10 and 83,733.45

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Solution

The fourth proportional to 106,433.82, 146,726.10 and 83,733.45 is: 115,432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,433.82 : 146,726.10 = 83,733.45 : x
  2. Step 2: Convert to fraction form
    106,433.82/146,726.10 = 83,733.45/x
  3. Step 3: Cross multiply
    106,433.82x = 146,726.10 × 83,733.45
  4. Step 4: Simplify right side
    106,433.82x = 12,285,881,654.57
  5. Step 5: Solve for x
    x = 12,285,881,654.57/106,433.82
  6. Step 6: Final answer
    x = 115,432.12

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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.