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Finding the Fourth Proportional to 212,297.55, 292,971.12 and 116,810.40

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Solution

The fourth proportional to 212,297.55, 292,971.12 and 116,810.40 is: 161,198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,297.55 : 292,971.12 = 116,810.40 : x
  2. Step 2: Convert to fraction form
    212,297.55/292,971.12 = 116,810.40/x
  3. Step 3: Cross multiply
    212,297.55x = 292,971.12 × 116,810.40
  4. Step 4: Simplify right side
    212,297.55x = 34,222,073,715.65
  5. Step 5: Solve for x
    x = 34,222,073,715.65/212,297.55
  6. Step 6: Final answer
    x = 161,198.63

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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.