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Finding the Fourth Proportional to 206,753.31, 285,427.94 and 139,125.87

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Solution

The fourth proportional to 206,753.31, 285,427.94 and 139,125.87 is: 192,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,753.31 : 285,427.94 = 139,125.87 : x
  2. Step 2: Convert to fraction form
    206,753.31/285,427.94 = 139,125.87/x
  3. Step 3: Cross multiply
    206,753.31x = 285,427.94 × 139,125.87
  4. Step 4: Simplify right side
    206,753.31x = 39,710,409,779.18
  5. Step 5: Solve for x
    x = 39,710,409,779.18/206,753.31
  6. Step 6: Final answer
    x = 192,066.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.