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Finding the Fourth Proportional to 106,794.90, 147,383.91 and 61,478.46

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Solution

The fourth proportional to 106,794.90, 147,383.91 and 61,478.46 is: 84,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,794.90 : 147,383.91 = 61,478.46 : x
  2. Step 2: Convert to fraction form
    106,794.90/147,383.91 = 61,478.46/x
  3. Step 3: Cross multiply
    106,794.90x = 147,383.91 × 61,478.46
  4. Step 4: Simplify right side
    106,794.90x = 9,060,935,815.58
  5. Step 5: Solve for x
    x = 9,060,935,815.58/106,794.90
  6. Step 6: Final answer
    x = 84,844.27

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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.