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Finding the Fourth Proportional to 117,411.38, 176,124.40 and 33,178.00

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Solution

The fourth proportional to 117,411.38, 176,124.40 and 33,178.00 is: 49,769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,411.38 : 176,124.40 = 33,178.00 : x
  2. Step 2: Convert to fraction form
    117,411.38/176,124.40 = 33,178.00/x
  3. Step 3: Cross multiply
    117,411.38x = 176,124.40 × 33,178.00
  4. Step 4: Simplify right side
    117,411.38x = 5,843,454,819.94
  5. Step 5: Solve for x
    x = 5,843,454,819.94/117,411.38
  6. Step 6: Final answer
    x = 49,769.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.