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Finding the Fourth Proportional to 206,787.86, 310,269.96 and 116,842.93

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Solution

The fourth proportional to 206,787.86, 310,269.96 and 116,842.93 is: 175,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,787.86 : 310,269.96 = 116,842.93 : x
  2. Step 2: Convert to fraction form
    206,787.86/310,269.96 = 116,842.93/x
  3. Step 3: Cross multiply
    206,787.86x = 310,269.96 × 116,842.93
  4. Step 4: Simplify right side
    206,787.86x = 36,252,852,515.60
  5. Step 5: Solve for x
    x = 36,252,852,515.60/206,787.86
  6. Step 6: Final answer
    x = 175,314.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.