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Finding the Fourth Proportional to 140,827.53, 211,241.45 and 35,646.50

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Solution

The fourth proportional to 140,827.53, 211,241.45 and 35,646.50 is: 53,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,827.53 : 211,241.45 = 35,646.50 : x
  2. Step 2: Convert to fraction form
    140,827.53/211,241.45 = 35,646.50/x
  3. Step 3: Cross multiply
    140,827.53x = 211,241.45 × 35,646.50
  4. Step 4: Simplify right side
    140,827.53x = 7,530,018,347.43
  5. Step 5: Solve for x
    x = 7,530,018,347.43/140,827.53
  6. Step 6: Final answer
    x = 53,469.79

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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.