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Finding the Fourth Proportional to 266,051.52, 367,323.84 and 205,516.80

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Solution

The fourth proportional to 266,051.52, 367,323.84 and 205,516.80 is: 283,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,051.52 : 367,323.84 = 205,516.80 : x
  2. Step 2: Convert to fraction form
    266,051.52/367,323.84 = 205,516.80/x
  3. Step 3: Cross multiply
    266,051.52x = 367,323.84 × 205,516.80
  4. Step 4: Simplify right side
    266,051.52x = 75,491,220,160.51
  5. Step 5: Solve for x
    x = 75,491,220,160.51/266,051.52
  6. Step 6: Final answer
    x = 283,746.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.