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Finding the Fourth Proportional to 169,462.54, 254,265.59 and 85,178.31

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Solution

The fourth proportional to 169,462.54, 254,265.59 and 85,178.31 is: 127,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,462.54 : 254,265.59 = 85,178.31 : x
  2. Step 2: Convert to fraction form
    169,462.54/254,265.59 = 85,178.31/x
  3. Step 3: Cross multiply
    169,462.54x = 254,265.59 × 85,178.31
  4. Step 4: Simplify right side
    169,462.54x = 21,657,913,247.35
  5. Step 5: Solve for x
    x = 21,657,913,247.35/169,462.54
  6. Step 6: Final answer
    x = 127,803.54

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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.