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Finding the Fourth Proportional to 206,977.84, 285,631.96 and 116,328.50

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Solution

The fourth proportional to 206,977.84, 285,631.96 and 116,328.50 is: 160,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,977.84 : 285,631.96 = 116,328.50 : x
  2. Step 2: Convert to fraction form
    206,977.84/285,631.96 = 116,328.50/x
  3. Step 3: Cross multiply
    206,977.84x = 285,631.96 × 116,328.50
  4. Step 4: Simplify right side
    206,977.84x = 33,227,137,458.86
  5. Step 5: Solve for x
    x = 33,227,137,458.86/206,977.84
  6. Step 6: Final answer
    x = 160,534.76

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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.