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Finding the Fourth Proportional to 205,838.96, 308,758.44 and 58,094.96

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Solution

The fourth proportional to 205,838.96, 308,758.44 and 58,094.96 is: 87,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,838.96 : 308,758.44 = 58,094.96 : x
  2. Step 2: Convert to fraction form
    205,838.96/308,758.44 = 58,094.96/x
  3. Step 3: Cross multiply
    205,838.96x = 308,758.44 × 58,094.96
  4. Step 4: Simplify right side
    205,838.96x = 17,937,309,221.46
  5. Step 5: Solve for x
    x = 17,937,309,221.46/205,838.96
  6. Step 6: Final answer
    x = 87,142.44

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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.