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Finding the Fourth Proportional to 204,166.68, 306,337.86 and 70,974.42

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Solution

The fourth proportional to 204,166.68, 306,337.86 and 70,974.42 is: 106,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,166.68 : 306,337.86 = 70,974.42 : x
  2. Step 2: Convert to fraction form
    204,166.68/306,337.86 = 70,974.42/x
  3. Step 3: Cross multiply
    204,166.68x = 306,337.86 × 70,974.42
  4. Step 4: Simplify right side
    204,166.68x = 21,742,151,937.54
  5. Step 5: Solve for x
    x = 21,742,151,937.54/204,166.68
  6. Step 6: Final answer
    x = 106,492.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.