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Finding the Fourth Proportional to 206,852.06, 285,435.68 and 116,187.50

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Solution

The fourth proportional to 206,852.06, 285,435.68 and 116,187.50 is: 160,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,852.06 : 285,435.68 = 116,187.50 : x
  2. Step 2: Convert to fraction form
    206,852.06/285,435.68 = 116,187.50/x
  3. Step 3: Cross multiply
    206,852.06x = 285,435.68 × 116,187.50
  4. Step 4: Simplify right side
    206,852.06x = 33,164,058,070
  5. Step 5: Solve for x
    x = 33,164,058,070/206,852.06
  6. Step 6: Final answer
    x = 160,327.42

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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.