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Finding the Fourth Proportional to 205,117.95, 283,062.17 and 114,472.95

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Solution

The fourth proportional to 205,117.95, 283,062.17 and 114,472.95 is: 157,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,117.95 : 283,062.17 = 114,472.95 : x
  2. Step 2: Convert to fraction form
    205,117.95/283,062.17 = 114,472.95/x
  3. Step 3: Cross multiply
    205,117.95x = 283,062.17 × 114,472.95
  4. Step 4: Simplify right side
    205,117.95x = 32,402,961,060.94
  5. Step 5: Solve for x
    x = 32,402,961,060.94/205,117.95
  6. Step 6: Final answer
    x = 157,972.33

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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.