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Finding the Fourth Proportional to 133,530.50, 200,140.11 and 74,337.86

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Solution

The fourth proportional to 133,530.50, 200,140.11 and 74,337.86 is: 111,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,530.50 : 200,140.11 = 74,337.86 : x
  2. Step 2: Convert to fraction form
    133,530.50/200,140.11 = 74,337.86/x
  3. Step 3: Cross multiply
    133,530.50x = 200,140.11 × 74,337.86
  4. Step 4: Simplify right side
    133,530.50x = 14,877,987,477.56
  5. Step 5: Solve for x
    x = 14,877,987,477.56/133,530.50
  6. Step 6: Final answer
    x = 111,420.14

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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.