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Finding the Fourth Proportional to 211,229.52, 316,858.86 and 61,471.05

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Solution

The fourth proportional to 211,229.52, 316,858.86 and 61,471.05 is: 92,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,229.52 : 316,858.86 = 61,471.05 : x
  2. Step 2: Convert to fraction form
    211,229.52/316,858.86 = 61,471.05/x
  3. Step 3: Cross multiply
    211,229.52x = 316,858.86 × 61,471.05
  4. Step 4: Simplify right side
    211,229.52x = 19,477,646,826.00
  5. Step 5: Solve for x
    x = 19,477,646,826.00/211,229.52
  6. Step 6: Final answer
    x = 92,210.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.