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Finding the Fourth Proportional to 229,934.40, 344,696.40 and 89,660.40

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Solution

The fourth proportional to 229,934.40, 344,696.40 and 89,660.40 is: 134,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,934.40 : 344,696.40 = 89,660.40 : x
  2. Step 2: Convert to fraction form
    229,934.40/344,696.40 = 89,660.40/x
  3. Step 3: Cross multiply
    229,934.40x = 344,696.40 × 89,660.40
  4. Step 4: Simplify right side
    229,934.40x = 30,905,617,102.56
  5. Step 5: Solve for x
    x = 30,905,617,102.56/229,934.40
  6. Step 6: Final answer
    x = 134,410.58

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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.