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Finding the Fourth Proportional to 229,429.14, 343,954.17 and 101,254.14

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Solution

The fourth proportional to 229,429.14, 343,954.17 and 101,254.14 is: 151,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,429.14 : 343,954.17 = 101,254.14 : x
  2. Step 2: Convert to fraction form
    229,429.14/343,954.17 = 101,254.14/x
  3. Step 3: Cross multiply
    229,429.14x = 343,954.17 × 101,254.14
  4. Step 4: Simplify right side
    229,429.14x = 34,826,783,682.76
  5. Step 5: Solve for x
    x = 34,826,783,682.76/229,429.14
  6. Step 6: Final answer
    x = 151,797.56

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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.