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Finding the Fourth Proportional to 188,876.22, 283,345.10 and 55,769.93

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Solution

The fourth proportional to 188,876.22, 283,345.10 and 55,769.93 is: 83,663.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,876.22 : 283,345.10 = 55,769.93 : x
  2. Step 2: Convert to fraction form
    188,876.22/283,345.10 = 55,769.93/x
  3. Step 3: Cross multiply
    188,876.22x = 283,345.10 × 55,769.93
  4. Step 4: Simplify right side
    188,876.22x = 15,802,136,392.84
  5. Step 5: Solve for x
    x = 15,802,136,392.84/188,876.22
  6. Step 6: Final answer
    x = 83,663.98

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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.