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Finding the Fourth Proportional to 205,446.53, 283,510.76 and 114,803.23

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Solution

The fourth proportional to 205,446.53, 283,510.76 and 114,803.23 is: 158,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,446.53 : 283,510.76 = 114,803.23 : x
  2. Step 2: Convert to fraction form
    205,446.53/283,510.76 = 114,803.23/x
  3. Step 3: Cross multiply
    205,446.53x = 283,510.76 × 114,803.23
  4. Step 4: Simplify right side
    205,446.53x = 32,547,951,356.80
  5. Step 5: Solve for x
    x = 32,547,951,356.80/205,446.53
  6. Step 6: Final answer
    x = 158,425.42

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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.