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Finding the Fourth Proportional to 205,537.65, 283,647.03 and 114,908.67

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Solution

The fourth proportional to 205,537.65, 283,647.03 and 114,908.67 is: 158,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,537.65 : 283,647.03 = 114,908.67 : x
  2. Step 2: Convert to fraction form
    205,537.65/283,647.03 = 114,908.67/x
  3. Step 3: Cross multiply
    205,537.65x = 283,647.03 × 114,908.67
  4. Step 4: Simplify right side
    205,537.65x = 32,593,502,966.75
  5. Step 5: Solve for x
    x = 32,593,502,966.75/205,537.65
  6. Step 6: Final answer
    x = 158,576.80

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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.