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Finding the Fourth Proportional to 133,269, 199,903.53 and 34,773

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Solution

The fourth proportional to 133,269, 199,903.53 and 34,773 is: 52,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,269 : 199,903.53 = 34,773 : x
  2. Step 2: Convert to fraction form
    133,269/199,903.53 = 34,773/x
  3. Step 3: Cross multiply
    133,269x = 199,903.53 × 34,773
  4. Step 4: Simplify right side
    133,269x = 6,951,245,448.69
  5. Step 5: Solve for x
    x = 6,951,245,448.69/133,269
  6. Step 6: Final answer
    x = 52,159.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.