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Finding the Fourth Proportional to 206,594.99, 310,058.57 and 106,784.43

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Solution

The fourth proportional to 206,594.99, 310,058.57 and 106,784.43 is: 160,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,594.99 : 310,058.57 = 106,784.43 : x
  2. Step 2: Convert to fraction form
    206,594.99/310,058.57 = 106,784.43/x
  3. Step 3: Cross multiply
    206,594.99x = 310,058.57 × 106,784.43
  4. Step 4: Simplify right side
    206,594.99x = 33,109,427,931.03
  5. Step 5: Solve for x
    x = 33,109,427,931.03/206,594.99
  6. Step 6: Final answer
    x = 160,262.49

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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.