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Finding the Fourth Proportional to 206,898.59, 310,347.48 and 57,138.50

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Solution

The fourth proportional to 206,898.59, 310,347.48 and 57,138.50 is: 85,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,898.59 : 310,347.48 = 57,138.50 : x
  2. Step 2: Convert to fraction form
    206,898.59/310,347.48 = 57,138.50/x
  3. Step 3: Cross multiply
    206,898.59x = 310,347.48 × 57,138.50
  4. Step 4: Simplify right side
    206,898.59x = 17,732,789,485.98
  5. Step 5: Solve for x
    x = 17,732,789,485.98/206,898.59
  6. Step 6: Final answer
    x = 85,707.64

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