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Finding the Fourth Proportional to 212,057.14, 292,632.32 and 116,563.54

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Solution

The fourth proportional to 212,057.14, 292,632.32 and 116,563.54 is: 160,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,057.14 : 292,632.32 = 116,563.54 : x
  2. Step 2: Convert to fraction form
    212,057.14/292,632.32 = 116,563.54/x
  3. Step 3: Cross multiply
    212,057.14x = 292,632.32 × 116,563.54
  4. Step 4: Simplify right side
    212,057.14x = 34,110,259,137.61
  5. Step 5: Solve for x
    x = 34,110,259,137.61/212,057.14
  6. Step 6: Final answer
    x = 160,854.09

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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.