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Finding the Fourth Proportional to 205,326.37, 283,347.43 and 114,683.66

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Solution

The fourth proportional to 205,326.37, 283,347.43 and 114,683.66 is: 158,261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,326.37 : 283,347.43 = 114,683.66 : x
  2. Step 2: Convert to fraction form
    205,326.37/283,347.43 = 114,683.66/x
  3. Step 3: Cross multiply
    205,326.37x = 283,347.43 × 114,683.66
  4. Step 4: Simplify right side
    205,326.37x = 32,495,320,323.99
  5. Step 5: Solve for x
    x = 32,495,320,323.99/205,326.37
  6. Step 6: Final answer
    x = 158,261.80

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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.