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Finding the Fourth Proportional to 194,200.32, 268,079.28 and 130,575

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Solution

The fourth proportional to 194,200.32, 268,079.28 and 130,575 is: 180,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,200.32 : 268,079.28 = 130,575 : x
  2. Step 2: Convert to fraction form
    194,200.32/268,079.28 = 130,575/x
  3. Step 3: Cross multiply
    194,200.32x = 268,079.28 × 130,575
  4. Step 4: Simplify right side
    194,200.32x = 35,004,451,986
  5. Step 5: Solve for x
    x = 35,004,451,986/194,200.32
  6. Step 6: Final answer
    x = 180,249.20

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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.