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Finding the Fourth Proportional to 169,548.32, 254,409.96 and 69,782.24

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Solution

The fourth proportional to 169,548.32, 254,409.96 and 69,782.24 is: 104,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,548.32 : 254,409.96 = 69,782.24 : x
  2. Step 2: Convert to fraction form
    169,548.32/254,409.96 = 69,782.24/x
  3. Step 3: Cross multiply
    169,548.32x = 254,409.96 × 69,782.24
  4. Step 4: Simplify right side
    169,548.32x = 17,753,296,887.11
  5. Step 5: Solve for x
    x = 17,753,296,887.11/169,548.32
  6. Step 6: Final answer
    x = 104,709.36

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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.