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Finding the Fourth Proportional to 212,996.94, 293,934.39 and 116,206.14

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Solution

The fourth proportional to 212,996.94, 293,934.39 and 116,206.14 is: 160,363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,996.94 : 293,934.39 = 116,206.14 : x
  2. Step 2: Convert to fraction form
    212,996.94/293,934.39 = 116,206.14/x
  3. Step 3: Cross multiply
    212,996.94x = 293,934.39 × 116,206.14
  4. Step 4: Simplify right side
    212,996.94x = 34,156,980,875.15
  5. Step 5: Solve for x
    x = 34,156,980,875.15/212,996.94
  6. Step 6: Final answer
    x = 160,363.72

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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.