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Finding the Fourth Proportional to 254,835.42, 382,254.36 and 77,343.97

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Solution

The fourth proportional to 254,835.42, 382,254.36 and 77,343.97 is: 116,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,835.42 : 382,254.36 = 77,343.97 : x
  2. Step 2: Convert to fraction form
    254,835.42/382,254.36 = 77,343.97/x
  3. Step 3: Cross multiply
    254,835.42x = 382,254.36 × 77,343.97
  4. Step 4: Simplify right side
    254,835.42x = 29,565,069,365.49
  5. Step 5: Solve for x
    x = 29,565,069,365.49/254,835.42
  6. Step 6: Final answer
    x = 116,016.33

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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.