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Finding the Fourth Proportional to 212,330.82, 293,024.34 and 116,841.54

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Solution

The fourth proportional to 212,330.82, 293,024.34 and 116,841.54 is: 161,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,330.82 : 293,024.34 = 116,841.54 : x
  2. Step 2: Convert to fraction form
    212,330.82/293,024.34 = 116,841.54/x
  3. Step 3: Cross multiply
    212,330.82x = 293,024.34 × 116,841.54
  4. Step 4: Simplify right side
    212,330.82x = 34,237,415,143.08
  5. Step 5: Solve for x
    x = 34,237,415,143.08/212,330.82
  6. Step 6: Final answer
    x = 161,245.62

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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.