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Finding the Fourth Proportional to 133,193.60, 199,719.32 and 58,226

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Solution

The fourth proportional to 133,193.60, 199,719.32 and 58,226 is: 87,307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,193.60 : 199,719.32 = 58,226 : x
  2. Step 2: Convert to fraction form
    133,193.60/199,719.32 = 58,226/x
  3. Step 3: Cross multiply
    133,193.60x = 199,719.32 × 58,226
  4. Step 4: Simplify right side
    133,193.60x = 11,628,857,126.32
  5. Step 5: Solve for x
    x = 11,628,857,126.32/133,193.60
  6. Step 6: Final answer
    x = 87,307.93

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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.