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Finding the Fourth Proportional to 208,527.80, 313,022.10 and 115,215.80

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Solution

The fourth proportional to 208,527.80, 313,022.10 and 115,215.80 is: 172,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,527.80 : 313,022.10 = 115,215.80 : x
  2. Step 2: Convert to fraction form
    208,527.80/313,022.10 = 115,215.80/x
  3. Step 3: Cross multiply
    208,527.80x = 313,022.10 × 115,215.80
  4. Step 4: Simplify right side
    208,527.80x = 36,065,091,669.18
  5. Step 5: Solve for x
    x = 36,065,091,669.18/208,527.80
  6. Step 6: Final answer
    x = 172,951.00

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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.