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Finding the Fourth Proportional to 99,204.41, 148,835.40 and 36,023.50

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Solution

The fourth proportional to 99,204.41, 148,835.40 and 36,023.50 is: 54,045.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,204.41 : 148,835.40 = 36,023.50 : x
  2. Step 2: Convert to fraction form
    99,204.41/148,835.40 = 36,023.50/x
  3. Step 3: Cross multiply
    99,204.41x = 148,835.40 × 36,023.50
  4. Step 4: Simplify right side
    99,204.41x = 5,361,572,082.86
  5. Step 5: Solve for x
    x = 5,361,572,082.86/99,204.41
  6. Step 6: Final answer
    x = 54,045.70

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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.