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Finding the Fourth Proportional to 194,018.40, 291,027.60 and 180,896.40

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Solution

The fourth proportional to 194,018.40, 291,027.60 and 180,896.40 is: 271,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,018.40 : 291,027.60 = 180,896.40 : x
  2. Step 2: Convert to fraction form
    194,018.40/291,027.60 = 180,896.40/x
  3. Step 3: Cross multiply
    194,018.40x = 291,027.60 × 180,896.40
  4. Step 4: Simplify right side
    194,018.40x = 52,645,845,140.64
  5. Step 5: Solve for x
    x = 52,645,845,140.64/194,018.40
  6. Step 6: Final answer
    x = 271,344.60

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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.