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Finding the Fourth Proportional to 206,717.95, 310,058.70 and 56,944.90

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Solution

The fourth proportional to 206,717.95, 310,058.70 and 56,944.90 is: 85,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,717.95 : 310,058.70 = 56,944.90 : x
  2. Step 2: Convert to fraction form
    206,717.95/310,058.70 = 56,944.90/x
  3. Step 3: Cross multiply
    206,717.95x = 310,058.70 × 56,944.90
  4. Step 4: Simplify right side
    206,717.95x = 17,656,261,665.63
  5. Step 5: Solve for x
    x = 17,656,261,665.63/206,717.95
  6. Step 6: Final answer
    x = 85,412.33

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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.