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Finding the Fourth Proportional to 212,131.93, 292,742 and 116,644.81

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Solution

The fourth proportional to 212,131.93, 292,742 and 116,644.81 is: 160,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,131.93 : 292,742 = 116,644.81 : x
  2. Step 2: Convert to fraction form
    212,131.93/292,742 = 116,644.81/x
  3. Step 3: Cross multiply
    212,131.93x = 292,742 × 116,644.81
  4. Step 4: Simplify right side
    212,131.93x = 34,146,833,505.31
  5. Step 5: Solve for x
    x = 34,146,833,505.31/212,131.93
  6. Step 6: Final answer
    x = 160,969.80

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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.