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Finding the Fourth Proportional to 205,125.92, 283,087.98 and 114,499.52

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Solution

The fourth proportional to 205,125.92, 283,087.98 and 114,499.52 is: 158,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,125.92 : 283,087.98 = 114,499.52 : x
  2. Step 2: Convert to fraction form
    205,125.92/283,087.98 = 114,499.52/x
  3. Step 3: Cross multiply
    205,125.92x = 283,087.98 × 114,499.52
  4. Step 4: Simplify right side
    205,125.92x = 32,413,437,827.77
  5. Step 5: Solve for x
    x = 32,413,437,827.77/205,125.92
  6. Step 6: Final answer
    x = 158,017.27

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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.