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Finding the Fourth Proportional to 206,923.74, 310,407.47 and 88,563.30

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Solution

The fourth proportional to 206,923.74, 310,407.47 and 88,563.30 is: 132,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,923.74 : 310,407.47 = 88,563.30 : x
  2. Step 2: Convert to fraction form
    206,923.74/310,407.47 = 88,563.30/x
  3. Step 3: Cross multiply
    206,923.74x = 310,407.47 × 88,563.30
  4. Step 4: Simplify right side
    206,923.74x = 27,490,709,887.85
  5. Step 5: Solve for x
    x = 27,490,709,887.85/206,923.74
  6. Step 6: Final answer
    x = 132,854.31

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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.