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Finding the Fourth Proportional to 145,234.07, 200,419.01 and 80,701.63

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Solution

The fourth proportional to 145,234.07, 200,419.01 and 80,701.63 is: 111,366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,234.07 : 200,419.01 = 80,701.63 : x
  2. Step 2: Convert to fraction form
    145,234.07/200,419.01 = 80,701.63/x
  3. Step 3: Cross multiply
    145,234.07x = 200,419.01 × 80,701.63
  4. Step 4: Simplify right side
    145,234.07x = 16,174,140,789.99
  5. Step 5: Solve for x
    x = 16,174,140,789.99/145,234.07
  6. Step 6: Final answer
    x = 111,366.02

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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.