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Finding the Fourth Proportional to 224,602.42, 309,839.50 and 133,894.47

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Solution

The fourth proportional to 224,602.42, 309,839.50 and 133,894.47 is: 184,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,602.42 : 309,839.50 = 133,894.47 : x
  2. Step 2: Convert to fraction form
    224,602.42/309,839.50 = 133,894.47/x
  3. Step 3: Cross multiply
    224,602.42x = 309,839.50 × 133,894.47
  4. Step 4: Simplify right side
    224,602.42x = 41,485,795,600.56
  5. Step 5: Solve for x
    x = 41,485,795,600.56/224,602.42
  6. Step 6: Final answer
    x = 184,707.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.