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Finding the Fourth Proportional to 194,130.84, 291,163.86 and 53,903.64

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Solution

The fourth proportional to 194,130.84, 291,163.86 and 53,903.64 is: 80,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,130.84 : 291,163.86 = 53,903.64 : x
  2. Step 2: Convert to fraction form
    194,130.84/291,163.86 = 53,903.64/x
  3. Step 3: Cross multiply
    194,130.84x = 291,163.86 × 53,903.64
  4. Step 4: Simplify right side
    194,130.84x = 15,694,791,890.45
  5. Step 5: Solve for x
    x = 15,694,791,890.45/194,130.84
  6. Step 6: Final answer
    x = 80,846.46

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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.