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Finding the Fourth Proportional to 144,480.42, 199,404.13 and 83,214.83

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Solution

The fourth proportional to 144,480.42, 199,404.13 and 83,214.83 is: 114,848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,480.42 : 199,404.13 = 83,214.83 : x
  2. Step 2: Convert to fraction form
    144,480.42/199,404.13 = 83,214.83/x
  3. Step 3: Cross multiply
    144,480.42x = 199,404.13 × 83,214.83
  4. Step 4: Simplify right side
    144,480.42x = 16,593,381,740.20
  5. Step 5: Solve for x
    x = 16,593,381,740.20/144,480.42
  6. Step 6: Final answer
    x = 114,848.65

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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.