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Finding the Fourth Proportional to 194,978.88, 292,408.32 and 101,433.60

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Solution

The fourth proportional to 194,978.88, 292,408.32 and 101,433.60 is: 152,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,978.88 : 292,408.32 = 101,433.60 : x
  2. Step 2: Convert to fraction form
    194,978.88/292,408.32 = 101,433.60/x
  3. Step 3: Cross multiply
    194,978.88x = 292,408.32 × 101,433.60
  4. Step 4: Simplify right side
    194,978.88x = 29,660,028,567.55
  5. Step 5: Solve for x
    x = 29,660,028,567.55/194,978.88
  6. Step 6: Final answer
    x = 152,119.19

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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.