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Finding the Fourth Proportional to 133,294.41, 199,941.53 and 53,368.34

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Solution

The fourth proportional to 133,294.41, 199,941.53 and 53,368.34 is: 80,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,294.41 : 199,941.53 = 53,368.34 : x
  2. Step 2: Convert to fraction form
    133,294.41/199,941.53 = 53,368.34/x
  3. Step 3: Cross multiply
    133,294.41x = 199,941.53 × 53,368.34
  4. Step 4: Simplify right side
    133,294.41x = 10,670,546,286.61
  5. Step 5: Solve for x
    x = 10,670,546,286.61/133,294.41
  6. Step 6: Final answer
    x = 80,052.47

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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.