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Finding the Fourth Proportional to 254,682.80, 382,024.20 and 65,142.80

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Solution

The fourth proportional to 254,682.80, 382,024.20 and 65,142.80 is: 97,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,682.80 : 382,024.20 = 65,142.80 : x
  2. Step 2: Convert to fraction form
    254,682.80/382,024.20 = 65,142.80/x
  3. Step 3: Cross multiply
    254,682.80x = 382,024.20 × 65,142.80
  4. Step 4: Simplify right side
    254,682.80x = 24,886,126,055.76
  5. Step 5: Solve for x
    x = 24,886,126,055.76/254,682.80
  6. Step 6: Final answer
    x = 97,714.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.