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Finding the Fourth Proportional to 211,471.32, 291,834.16 and 115,977.18

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Solution

The fourth proportional to 211,471.32, 291,834.16 and 115,977.18 is: 160,050.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,471.32 : 291,834.16 = 115,977.18 : x
  2. Step 2: Convert to fraction form
    211,471.32/291,834.16 = 115,977.18/x
  3. Step 3: Cross multiply
    211,471.32x = 291,834.16 × 115,977.18
  4. Step 4: Simplify right side
    211,471.32x = 33,846,102,904.47
  5. Step 5: Solve for x
    x = 33,846,102,904.47/211,471.32
  6. Step 6: Final answer
    x = 160,050.56

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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.