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Finding the Fourth Proportional to 119,305.92, 178,931.20 and 52,709.76

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Solution

The fourth proportional to 119,305.92, 178,931.20 and 52,709.76 is: 79,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,305.92 : 178,931.20 = 52,709.76 : x
  2. Step 2: Convert to fraction form
    119,305.92/178,931.20 = 52,709.76/x
  3. Step 3: Cross multiply
    119,305.92x = 178,931.20 × 52,709.76
  4. Step 4: Simplify right side
    119,305.92x = 9,431,420,608.51
  5. Step 5: Solve for x
    x = 9,431,420,608.51/119,305.92
  6. Step 6: Final answer
    x = 79,052.41

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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.