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Finding the Fourth Proportional to 203,890.86, 305,836.50 and 77,501.40

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Solution

The fourth proportional to 203,890.86, 305,836.50 and 77,501.40 is: 116,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,890.86 : 305,836.50 = 77,501.40 : x
  2. Step 2: Convert to fraction form
    203,890.86/305,836.50 = 77,501.40/x
  3. Step 3: Cross multiply
    203,890.86x = 305,836.50 × 77,501.40
  4. Step 4: Simplify right side
    203,890.86x = 23,702,756,921.10
  5. Step 5: Solve for x
    x = 23,702,756,921.10/203,890.86
  6. Step 6: Final answer
    x = 116,252.18

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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.