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Finding the Fourth Proportional to 152,100.16, 227,960.16 and 73,193.20

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Solution

The fourth proportional to 152,100.16, 227,960.16 and 73,193.20 is: 109,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,100.16 : 227,960.16 = 73,193.20 : x
  2. Step 2: Convert to fraction form
    152,100.16/227,960.16 = 73,193.20/x
  3. Step 3: Cross multiply
    152,100.16x = 227,960.16 × 73,193.20
  4. Step 4: Simplify right side
    152,100.16x = 16,685,133,582.91
  5. Step 5: Solve for x
    x = 16,685,133,582.91/152,100.16
  6. Step 6: Final answer
    x = 109,698.33

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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.