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Finding the Fourth Proportional to 255,989.40, 384,155.50 and 106,229.84

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Solution

The fourth proportional to 255,989.40, 384,155.50 and 106,229.84 is: 159,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,989.40 : 384,155.50 = 106,229.84 : x
  2. Step 2: Convert to fraction form
    255,989.40/384,155.50 = 106,229.84/x
  3. Step 3: Cross multiply
    255,989.40x = 384,155.50 × 106,229.84
  4. Step 4: Simplify right side
    255,989.40x = 40,808,775,379.34
  5. Step 5: Solve for x
    x = 40,808,775,379.34/255,989.40
  6. Step 6: Final answer
    x = 159,415.88

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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.