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Finding the Fourth Proportional to 205,395.27, 283,393.65 and 120,495.93

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Solution

The fourth proportional to 205,395.27, 283,393.65 and 120,495.93 is: 166,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,395.27 : 283,393.65 = 120,495.93 : x
  2. Step 2: Convert to fraction form
    205,395.27/283,393.65 = 120,495.93/x
  3. Step 3: Cross multiply
    205,395.27x = 283,393.65 × 120,495.93
  4. Step 4: Simplify right side
    205,395.27x = 34,147,781,412.84
  5. Step 5: Solve for x
    x = 34,147,781,412.84/205,395.27
  6. Step 6: Final answer
    x = 166,253.98

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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.