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Finding the Fourth Proportional to 229,853.40, 344,780.10 and 159,869.40

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Solution

The fourth proportional to 229,853.40, 344,780.10 and 159,869.40 is: 239,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,853.40 : 344,780.10 = 159,869.40 : x
  2. Step 2: Convert to fraction form
    229,853.40/344,780.10 = 159,869.40/x
  3. Step 3: Cross multiply
    229,853.40x = 344,780.10 × 159,869.40
  4. Step 4: Simplify right side
    229,853.40x = 55,119,787,718.94
  5. Step 5: Solve for x
    x = 55,119,787,718.94/229,853.40
  6. Step 6: Final answer
    x = 239,804.10

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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.