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Finding the Fourth Proportional to 106,116.50, 146,440.86 and 61,404.50

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Solution

The fourth proportional to 106,116.50, 146,440.86 and 61,404.50 is: 84,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,116.50 : 146,440.86 = 61,404.50 : x
  2. Step 2: Convert to fraction form
    106,116.50/146,440.86 = 61,404.50/x
  3. Step 3: Cross multiply
    106,116.50x = 146,440.86 × 61,404.50
  4. Step 4: Simplify right side
    106,116.50x = 8,992,127,787.87
  5. Step 5: Solve for x
    x = 8,992,127,787.87/106,116.50
  6. Step 6: Final answer
    x = 84,738.26

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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.