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Finding the Fourth Proportional to 224,422.58, 309,743.21 and 133,784.33

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Solution

The fourth proportional to 224,422.58, 309,743.21 and 133,784.33 is: 184,646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,422.58 : 309,743.21 = 133,784.33 : x
  2. Step 2: Convert to fraction form
    224,422.58/309,743.21 = 133,784.33/x
  3. Step 3: Cross multiply
    224,422.58x = 309,743.21 × 133,784.33
  4. Step 4: Simplify right side
    224,422.58x = 41,438,786,607.64
  5. Step 5: Solve for x
    x = 41,438,786,607.64/224,422.58
  6. Step 6: Final answer
    x = 184,646.24

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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.