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Finding the Fourth Proportional to 194,037.53, 291,056.36 and 87,296.82

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Solution

The fourth proportional to 194,037.53, 291,056.36 and 87,296.82 is: 130,945.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,037.53 : 291,056.36 = 87,296.82 : x
  2. Step 2: Convert to fraction form
    194,037.53/291,056.36 = 87,296.82/x
  3. Step 3: Cross multiply
    194,037.53x = 291,056.36 × 87,296.82
  4. Step 4: Simplify right side
    194,037.53x = 25,408,294,232.29
  5. Step 5: Solve for x
    x = 25,408,294,232.29/194,037.53
  6. Step 6: Final answer
    x = 130,945.26

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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.