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Finding the Fourth Proportional to 212,776.68, 293,631.83 and 117,285.42

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Solution

The fourth proportional to 212,776.68, 293,631.83 and 117,285.42 is: 161,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,776.68 : 293,631.83 = 117,285.42 : x
  2. Step 2: Convert to fraction form
    212,776.68/293,631.83 = 117,285.42/x
  3. Step 3: Cross multiply
    212,776.68x = 293,631.83 × 117,285.42
  4. Step 4: Simplify right side
    212,776.68x = 34,438,732,506.92
  5. Step 5: Solve for x
    x = 34,438,732,506.92/212,776.68
  6. Step 6: Final answer
    x = 161,853.89

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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.