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Finding the Fourth Proportional to 255,988.83, 384,154.65 and 106,229.27

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Solution

The fourth proportional to 255,988.83, 384,154.65 and 106,229.27 is: 159,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,988.83 : 384,154.65 = 106,229.27 : x
  2. Step 2: Convert to fraction form
    255,988.83/384,154.65 = 106,229.27/x
  3. Step 3: Cross multiply
    255,988.83x = 384,154.65 × 106,229.27
  4. Step 4: Simplify right side
    255,988.83x = 40,808,467,076.22
  5. Step 5: Solve for x
    x = 40,808,467,076.22/255,988.83
  6. Step 6: Final answer
    x = 159,415.03

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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.