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Finding the Fourth Proportional to 212,800.98, 293,667.35 and 117,311.10

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Solution

The fourth proportional to 212,800.98, 293,667.35 and 117,311.10 is: 161,890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,800.98 : 293,667.35 = 117,311.10 : x
  2. Step 2: Convert to fraction form
    212,800.98/293,667.35 = 117,311.10/x
  3. Step 3: Cross multiply
    212,800.98x = 293,667.35 × 117,311.10
  4. Step 4: Simplify right side
    212,800.98x = 34,450,439,862.59
  5. Step 5: Solve for x
    x = 34,450,439,862.59/212,800.98
  6. Step 6: Final answer
    x = 161,890.42

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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.