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Finding the Fourth Proportional to 164,703.71, 247,052.96 and 52,382.30

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Solution

The fourth proportional to 164,703.71, 247,052.96 and 52,382.30 is: 78,572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,703.71 : 247,052.96 = 52,382.30 : x
  2. Step 2: Convert to fraction form
    164,703.71/247,052.96 = 52,382.30/x
  3. Step 3: Cross multiply
    164,703.71x = 247,052.96 × 52,382.30
  4. Step 4: Simplify right side
    164,703.71x = 12,941,200,769.43
  5. Step 5: Solve for x
    x = 12,941,200,769.43/164,703.71
  6. Step 6: Final answer
    x = 78,572.61

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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.