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Finding the Fourth Proportional to 147,050, 202,929.24 and 79,982

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Solution

The fourth proportional to 147,050, 202,929.24 and 79,982 is: 110,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,050 : 202,929.24 = 79,982 : x
  2. Step 2: Convert to fraction form
    147,050/202,929.24 = 79,982/x
  3. Step 3: Cross multiply
    147,050x = 202,929.24 × 79,982
  4. Step 4: Simplify right side
    147,050x = 16,230,686,473.68
  5. Step 5: Solve for x
    x = 16,230,686,473.68/147,050
  6. Step 6: Final answer
    x = 110,375.29

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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.