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Finding the Fourth Proportional to 211,046.32, 291,229.14 and 120,381.40

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Solution

The fourth proportional to 211,046.32, 291,229.14 and 120,381.40 is: 166,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,046.32 : 291,229.14 = 120,381.40 : x
  2. Step 2: Convert to fraction form
    211,046.32/291,229.14 = 120,381.40/x
  3. Step 3: Cross multiply
    211,046.32x = 291,229.14 × 120,381.40
  4. Step 4: Simplify right side
    211,046.32x = 35,058,571,594.00
  5. Step 5: Solve for x
    x = 35,058,571,594.00/211,046.32
  6. Step 6: Final answer
    x = 166,117.90

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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.