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Finding the Fourth Proportional to 152,364.80, 228,583.65 and 73,414.10

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Solution

The fourth proportional to 152,364.80, 228,583.65 and 73,414.10 is: 110,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,364.80 : 228,583.65 = 73,414.10 : x
  2. Step 2: Convert to fraction form
    152,364.80/228,583.65 = 73,414.10/x
  3. Step 3: Cross multiply
    152,364.80x = 228,583.65 × 73,414.10
  4. Step 4: Simplify right side
    152,364.80x = 16,781,262,939.47
  5. Step 5: Solve for x
    x = 16,781,262,939.47/152,364.80
  6. Step 6: Final answer
    x = 110,138.71

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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.