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Finding the Fourth Proportional to 212,028.86, 292,605.41 and 116,538.10

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Solution

The fourth proportional to 212,028.86, 292,605.41 and 116,538.10 is: 160,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,028.86 : 292,605.41 = 116,538.10 : x
  2. Step 2: Convert to fraction form
    212,028.86/292,605.41 = 116,538.10/x
  3. Step 3: Cross multiply
    212,028.86x = 292,605.41 × 116,538.10
  4. Step 4: Simplify right side
    212,028.86x = 34,099,678,531.12
  5. Step 5: Solve for x
    x = 34,099,678,531.12/212,028.86
  6. Step 6: Final answer
    x = 160,825.65

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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.