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Finding the Fourth Proportional to 169,684.94, 254,233.40 and 102,985.31

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Solution

The fourth proportional to 169,684.94, 254,233.40 and 102,985.31 is: 154,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,684.94 : 254,233.40 = 102,985.31 : x
  2. Step 2: Convert to fraction form
    169,684.94/254,233.40 = 102,985.31/x
  3. Step 3: Cross multiply
    169,684.94x = 254,233.40 × 102,985.31
  4. Step 4: Simplify right side
    169,684.94x = 26,182,304,240.19
  5. Step 5: Solve for x
    x = 26,182,304,240.19/169,684.94
  6. Step 6: Final answer
    x = 154,299.52

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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.