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Finding the Fourth Proportional to 212,385.42, 293,093.88 and 116,894.31

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Solution

The fourth proportional to 212,385.42, 293,093.88 and 116,894.31 is: 161,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,385.42 : 293,093.88 = 116,894.31 : x
  2. Step 2: Convert to fraction form
    212,385.42/293,093.88 = 116,894.31/x
  3. Step 3: Cross multiply
    212,385.42x = 293,093.88 × 116,894.31
  4. Step 4: Simplify right side
    212,385.42x = 34,261,006,867.82
  5. Step 5: Solve for x
    x = 34,261,006,867.82/212,385.42
  6. Step 6: Final answer
    x = 161,315.25

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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.