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Finding the Fourth Proportional to 205,834.96, 308,752.44 and 58,090.96

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Solution

The fourth proportional to 205,834.96, 308,752.44 and 58,090.96 is: 87,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,834.96 : 308,752.44 = 58,090.96 : x
  2. Step 2: Convert to fraction form
    205,834.96/308,752.44 = 58,090.96/x
  3. Step 3: Cross multiply
    205,834.96x = 308,752.44 × 58,090.96
  4. Step 4: Simplify right side
    205,834.96x = 17,935,725,641.94
  5. Step 5: Solve for x
    x = 17,935,725,641.94/205,834.96
  6. Step 6: Final answer
    x = 87,136.44

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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.