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Finding the Fourth Proportional to 106,409.46, 146,845.35 and 58,661.76

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Solution

The fourth proportional to 106,409.46, 146,845.35 and 58,661.76 is: 80,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,409.46 : 146,845.35 = 58,661.76 : x
  2. Step 2: Convert to fraction form
    106,409.46/146,845.35 = 58,661.76/x
  3. Step 3: Cross multiply
    106,409.46x = 146,845.35 × 58,661.76
  4. Step 4: Simplify right side
    106,409.46x = 8,614,206,678.82
  5. Step 5: Solve for x
    x = 8,614,206,678.82/106,409.46
  6. Step 6: Final answer
    x = 80,953.39

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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.