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Finding the Fourth Proportional to 205,078.55, 283,008.06 and 114,429.02

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Solution

The fourth proportional to 205,078.55, 283,008.06 and 114,429.02 is: 157,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,078.55 : 283,008.06 = 114,429.02 : x
  2. Step 2: Convert to fraction form
    205,078.55/283,008.06 = 114,429.02/x
  3. Step 3: Cross multiply
    205,078.55x = 283,008.06 × 114,429.02
  4. Step 4: Simplify right side
    205,078.55x = 32,384,333,542.86
  5. Step 5: Solve for x
    x = 32,384,333,542.86/205,078.55
  6. Step 6: Final answer
    x = 157,911.86

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