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Finding the Fourth Proportional to 254,705.94, 381,714.26 and 96,848.28

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Solution

The fourth proportional to 254,705.94, 381,714.26 and 96,848.28 is: 145,141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,705.94 : 381,714.26 = 96,848.28 : x
  2. Step 2: Convert to fraction form
    254,705.94/381,714.26 = 96,848.28/x
  3. Step 3: Cross multiply
    254,705.94x = 381,714.26 × 96,848.28
  4. Step 4: Simplify right side
    254,705.94x = 36,968,369,048.23
  5. Step 5: Solve for x
    x = 36,968,369,048.23/254,705.94
  6. Step 6: Final answer
    x = 145,141.37

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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.