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Finding the Fourth Proportional to 212,835.66, 293,714.10 and 117,340.26

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Solution

The fourth proportional to 212,835.66, 293,714.10 and 117,340.26 is: 161,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,835.66 : 293,714.10 = 117,340.26 : x
  2. Step 2: Convert to fraction form
    212,835.66/293,714.10 = 117,340.26/x
  3. Step 3: Cross multiply
    212,835.66x = 293,714.10 × 117,340.26
  4. Step 4: Simplify right side
    212,835.66x = 34,464,488,859.67
  5. Step 5: Solve for x
    x = 34,464,488,859.67/212,835.66
  6. Step 6: Final answer
    x = 161,930.05

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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.