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Finding the Fourth Proportional to 169,654.54, 254,448.98 and 51,298.14

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Solution

The fourth proportional to 169,654.54, 254,448.98 and 51,298.14 is: 76,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,654.54 : 254,448.98 = 51,298.14 : x
  2. Step 2: Convert to fraction form
    169,654.54/254,448.98 = 51,298.14/x
  3. Step 3: Cross multiply
    169,654.54x = 254,448.98 × 51,298.14
  4. Step 4: Simplify right side
    169,654.54x = 13,052,759,398.90
  5. Step 5: Solve for x
    x = 13,052,759,398.90/169,654.54
  6. Step 6: Final answer
    x = 76,937.28

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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.