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Finding the Fourth Proportional to 206,835.20, 310,252.80 and 184,284.80

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Solution

The fourth proportional to 206,835.20, 310,252.80 and 184,284.80 is: 276,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,835.20 : 310,252.80 = 184,284.80 : x
  2. Step 2: Convert to fraction form
    206,835.20/310,252.80 = 184,284.80/x
  3. Step 3: Cross multiply
    206,835.20x = 310,252.80 × 184,284.80
  4. Step 4: Simplify right side
    206,835.20x = 57,174,875,197.44
  5. Step 5: Solve for x
    x = 57,174,875,197.44/206,835.20
  6. Step 6: Final answer
    x = 276,427.20

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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.