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Finding the Fourth Proportional to 129,978.88, 194,968.32 and 46,872.88

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Solution

The fourth proportional to 129,978.88, 194,968.32 and 46,872.88 is: 70,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,978.88 : 194,968.32 = 46,872.88 : x
  2. Step 2: Convert to fraction form
    129,978.88/194,968.32 = 46,872.88/x
  3. Step 3: Cross multiply
    129,978.88x = 194,968.32 × 46,872.88
  4. Step 4: Simplify right side
    129,978.88x = 9,138,726,667.16
  5. Step 5: Solve for x
    x = 9,138,726,667.16/129,978.88
  6. Step 6: Final answer
    x = 70,309.32

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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.