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Finding the Fourth Proportional to 213,534.48, 294,676 and 122,908.24

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Solution

The fourth proportional to 213,534.48, 294,676 and 122,908.24 is: 169,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,534.48 : 294,676 = 122,908.24 : x
  2. Step 2: Convert to fraction form
    213,534.48/294,676 = 122,908.24/x
  3. Step 3: Cross multiply
    213,534.48x = 294,676 × 122,908.24
  4. Step 4: Simplify right side
    213,534.48x = 36,218,108,530.24
  5. Step 5: Solve for x
    x = 36,218,108,530.24/213,534.48
  6. Step 6: Final answer
    x = 169,612.46

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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.