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Finding the Fourth Proportional to 152,414.63, 228,644.22 and 73,463.93

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Solution

The fourth proportional to 152,414.63, 228,644.22 and 73,463.93 is: 110,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,414.63 : 228,644.22 = 73,463.93 : x
  2. Step 2: Convert to fraction form
    152,414.63/228,644.22 = 73,463.93/x
  3. Step 3: Cross multiply
    152,414.63x = 228,644.22 × 73,463.93
  4. Step 4: Simplify right side
    152,414.63x = 16,797,102,549.43
  5. Step 5: Solve for x
    x = 16,797,102,549.43/152,414.63
  6. Step 6: Final answer
    x = 110,206.63

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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.