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Finding the Fourth Proportional to 251,905.30, 377,529.90 and 102,022.90

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Solution

The fourth proportional to 251,905.30, 377,529.90 and 102,022.90 is: 152,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,905.30 : 377,529.90 = 102,022.90 : x
  2. Step 2: Convert to fraction form
    251,905.30/377,529.90 = 102,022.90/x
  3. Step 3: Cross multiply
    251,905.30x = 377,529.90 × 102,022.90
  4. Step 4: Simplify right side
    251,905.30x = 38,516,695,234.71
  5. Step 5: Solve for x
    x = 38,516,695,234.71/251,905.30
  6. Step 6: Final answer
    x = 152,901.49

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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.