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Finding the Fourth Proportional to 106,508.82, 146,982.65 and 58,763.58

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Solution

The fourth proportional to 106,508.82, 146,982.65 and 58,763.58 is: 81,094.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,508.82 : 146,982.65 = 58,763.58 : x
  2. Step 2: Convert to fraction form
    106,508.82/146,982.65 = 58,763.58/x
  3. Step 3: Cross multiply
    106,508.82x = 146,982.65 × 58,763.58
  4. Step 4: Simplify right side
    106,508.82x = 8,637,226,197.43
  5. Step 5: Solve for x
    x = 8,637,226,197.43/106,508.82
  6. Step 6: Final answer
    x = 81,094.00

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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.