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Finding the Fourth Proportional to 212,146.65, 292,763.43 and 116,659.53

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Solution

The fourth proportional to 212,146.65, 292,763.43 and 116,659.53 is: 160,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,146.65 : 292,763.43 = 116,659.53 : x
  2. Step 2: Convert to fraction form
    212,146.65/292,763.43 = 116,659.53/x
  3. Step 3: Cross multiply
    212,146.65x = 292,763.43 × 116,659.53
  4. Step 4: Simplify right side
    212,146.65x = 34,153,644,144.99
  5. Step 5: Solve for x
    x = 34,153,644,144.99/212,146.65
  6. Step 6: Final answer
    x = 160,990.73

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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.