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Finding the Fourth Proportional to 212,455.98, 293,191.20 and 116,964.27

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Solution

The fourth proportional to 212,455.98, 293,191.20 and 116,964.27 is: 161,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,455.98 : 293,191.20 = 116,964.27 : x
  2. Step 2: Convert to fraction form
    212,455.98/293,191.20 = 116,964.27/x
  3. Step 3: Cross multiply
    212,455.98x = 293,191.20 × 116,964.27
  4. Step 4: Simplify right side
    212,455.98x = 34,292,894,678.42
  5. Step 5: Solve for x
    x = 34,292,894,678.42/212,455.98
  6. Step 6: Final answer
    x = 161,411.76

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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.