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Finding the Fourth Proportional to 145,249.37, 200,431.35 and 80,714.50

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Solution

The fourth proportional to 145,249.37, 200,431.35 and 80,714.50 is: 111,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,249.37 : 200,431.35 = 80,714.50 : x
  2. Step 2: Convert to fraction form
    145,249.37/200,431.35 = 80,714.50/x
  3. Step 3: Cross multiply
    145,249.37x = 200,431.35 × 80,714.50
  4. Step 4: Simplify right side
    145,249.37x = 16,177,716,199.58
  5. Step 5: Solve for x
    x = 16,177,716,199.58/145,249.37
  6. Step 6: Final answer
    x = 111,378.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.