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Finding the Fourth Proportional to 205,113.25, 283,070.48 and 114,486.85

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Solution

The fourth proportional to 205,113.25, 283,070.48 and 114,486.85 is: 157,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,113.25 : 283,070.48 = 114,486.85 : x
  2. Step 2: Convert to fraction form
    205,113.25/283,070.48 = 114,486.85/x
  3. Step 3: Cross multiply
    205,113.25x = 283,070.48 × 114,486.85
  4. Step 4: Simplify right side
    205,113.25x = 32,407,847,583.19
  5. Step 5: Solve for x
    x = 32,407,847,583.19/205,113.25
  6. Step 6: Final answer
    x = 157,999.78

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