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Finding the Fourth Proportional to 150,134, 225,201 and 56,617.88

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Solution

The fourth proportional to 150,134, 225,201 and 56,617.88 is: 84,926.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,134 : 225,201 = 56,617.88 : x
  2. Step 2: Convert to fraction form
    150,134/225,201 = 56,617.88/x
  3. Step 3: Cross multiply
    150,134x = 225,201 × 56,617.88
  4. Step 4: Simplify right side
    150,134x = 12,750,403,193.88
  5. Step 5: Solve for x
    x = 12,750,403,193.88/150,134
  6. Step 6: Final answer
    x = 84,926.82

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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.