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Finding the Fourth Proportional to 106,511.76, 146,994.48 and 58,769.28

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Solution

The fourth proportional to 106,511.76, 146,994.48 and 58,769.28 is: 81,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,511.76 : 146,994.48 = 58,769.28 : x
  2. Step 2: Convert to fraction form
    106,511.76/146,994.48 = 58,769.28/x
  3. Step 3: Cross multiply
    106,511.76x = 146,994.48 × 58,769.28
  4. Step 4: Simplify right side
    106,511.76x = 8,638,759,753.57
  5. Step 5: Solve for x
    x = 8,638,759,753.57/106,511.76
  6. Step 6: Final answer
    x = 81,106.16

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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.