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Finding the Fourth Proportional to 119,663.14, 179,431.22 and 35,411.70

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Solution

The fourth proportional to 119,663.14, 179,431.22 and 35,411.70 is: 53,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,663.14 : 179,431.22 = 35,411.70 : x
  2. Step 2: Convert to fraction form
    119,663.14/179,431.22 = 35,411.70/x
  3. Step 3: Cross multiply
    119,663.14x = 179,431.22 × 35,411.70
  4. Step 4: Simplify right side
    119,663.14x = 6,353,964,533.27
  5. Step 5: Solve for x
    x = 6,353,964,533.27/119,663.14
  6. Step 6: Final answer
    x = 53,098.76

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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.