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Finding the Fourth Proportional to 212,797.10, 293,656.82 and 117,301.74

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Solution

The fourth proportional to 212,797.10, 293,656.82 and 117,301.74 is: 161,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,797.10 : 293,656.82 = 117,301.74 : x
  2. Step 2: Convert to fraction form
    212,797.10/293,656.82 = 117,301.74/x
  3. Step 3: Cross multiply
    212,797.10x = 293,656.82 × 117,301.74
  4. Step 4: Simplify right side
    212,797.10x = 34,446,455,362.36
  5. Step 5: Solve for x
    x = 34,446,455,362.36/212,797.10
  6. Step 6: Final answer
    x = 161,874.65

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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.