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Finding the Fourth Proportional to 211,845.56, 292,352 and 116,354.32

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Solution

The fourth proportional to 211,845.56, 292,352 and 116,354.32 is: 160,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,845.56 : 292,352 = 116,354.32 : x
  2. Step 2: Convert to fraction form
    211,845.56/292,352 = 116,354.32/x
  3. Step 3: Cross multiply
    211,845.56x = 292,352 × 116,354.32
  4. Step 4: Simplify right side
    211,845.56x = 34,016,418,160.64
  5. Step 5: Solve for x
    x = 34,016,418,160.64/211,845.56
  6. Step 6: Final answer
    x = 160,571.78

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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.