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Finding the Fourth Proportional to 133,600, 200,225.04 and 74,463.52

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Solution

The fourth proportional to 133,600, 200,225.04 and 74,463.52 is: 111,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,600 : 200,225.04 = 74,463.52 : x
  2. Step 2: Convert to fraction form
    133,600/200,225.04 = 74,463.52/x
  3. Step 3: Cross multiply
    133,600x = 200,225.04 × 74,463.52
  4. Step 4: Simplify right side
    133,600x = 14,909,461,270.54
  5. Step 5: Solve for x
    x = 14,909,461,270.54/133,600
  6. Step 6: Final answer
    x = 111,597.76

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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.