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Finding the Fourth Proportional to 146,074, 201,582.14 and 79,006

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Solution

The fourth proportional to 146,074, 201,582.14 and 79,006 is: 109,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,074 : 201,582.14 = 79,006 : x
  2. Step 2: Convert to fraction form
    146,074/201,582.14 = 79,006/x
  3. Step 3: Cross multiply
    146,074x = 201,582.14 × 79,006
  4. Step 4: Simplify right side
    146,074x = 15,926,198,552.84
  5. Step 5: Solve for x
    x = 15,926,198,552.84/146,074
  6. Step 6: Final answer
    x = 109,028.29

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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.