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Finding the Fourth Proportional to 205,364.48, 283,246.08 and 141,808.64

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Solution

The fourth proportional to 205,364.48, 283,246.08 and 141,808.64 is: 195,587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,364.48 : 283,246.08 = 141,808.64 : x
  2. Step 2: Convert to fraction form
    205,364.48/283,246.08 = 141,808.64/x
  3. Step 3: Cross multiply
    205,364.48x = 283,246.08 × 141,808.64
  4. Step 4: Simplify right side
    205,364.48x = 40,166,741,390.13
  5. Step 5: Solve for x
    x = 40,166,741,390.13/205,364.48
  6. Step 6: Final answer
    x = 195,587.58

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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.