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Finding the Fourth Proportional to 171,020.18, 255,277.85 and 150,820

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Solution

The fourth proportional to 171,020.18, 255,277.85 and 150,820 is: 225,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,020.18 : 255,277.85 = 150,820 : x
  2. Step 2: Convert to fraction form
    171,020.18/255,277.85 = 150,820/x
  3. Step 3: Cross multiply
    171,020.18x = 255,277.85 × 150,820
  4. Step 4: Simplify right side
    171,020.18x = 38,501,005,337
  5. Step 5: Solve for x
    x = 38,501,005,337/171,020.18
  6. Step 6: Final answer
    x = 225,125.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.