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Finding the Fourth Proportional to 212,991.84, 293,934.24 and 117,499.68

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Solution

The fourth proportional to 212,991.84, 293,934.24 and 117,499.68 is: 162,152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,991.84 : 293,934.24 = 117,499.68 : x
  2. Step 2: Convert to fraction form
    212,991.84/293,934.24 = 117,499.68/x
  3. Step 3: Cross multiply
    212,991.84x = 293,934.24 × 117,499.68
  4. Step 4: Simplify right side
    212,991.84x = 34,537,179,141.04
  5. Step 5: Solve for x
    x = 34,537,179,141.04/212,991.84
  6. Step 6: Final answer
    x = 162,152.59

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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.