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Finding the Fourth Proportional to 140,404.24, 193,758.24 and 83,814.40

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Solution

The fourth proportional to 140,404.24, 193,758.24 and 83,814.40 is: 115,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,404.24 : 193,758.24 = 83,814.40 : x
  2. Step 2: Convert to fraction form
    140,404.24/193,758.24 = 83,814.40/x
  3. Step 3: Cross multiply
    140,404.24x = 193,758.24 × 83,814.40
  4. Step 4: Simplify right side
    140,404.24x = 16,239,730,630.66
  5. Step 5: Solve for x
    x = 16,239,730,630.66/140,404.24
  6. Step 6: Final answer
    x = 115,664.10

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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.