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Finding the Fourth Proportional to 148,777.20, 205,313.40 and 85,117.68

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Solution

The fourth proportional to 148,777.20, 205,313.40 and 85,117.68 is: 117,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,777.20 : 205,313.40 = 85,117.68 : x
  2. Step 2: Convert to fraction form
    148,777.20/205,313.40 = 85,117.68/x
  3. Step 3: Cross multiply
    148,777.20x = 205,313.40 × 85,117.68
  4. Step 4: Simplify right side
    148,777.20x = 17,475,800,280.91
  5. Step 5: Solve for x
    x = 17,475,800,280.91/148,777.20
  6. Step 6: Final answer
    x = 117,462.89

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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.