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Finding the Fourth Proportional to 127,441.98, 191,170.02 and 42,049.45

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Solution

The fourth proportional to 127,441.98, 191,170.02 and 42,049.45 is: 63,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,441.98 : 191,170.02 = 42,049.45 : x
  2. Step 2: Convert to fraction form
    127,441.98/191,170.02 = 42,049.45/x
  3. Step 3: Cross multiply
    127,441.98x = 191,170.02 × 42,049.45
  4. Step 4: Simplify right side
    127,441.98x = 8,038,594,197.49
  5. Step 5: Solve for x
    x = 8,038,594,197.49/127,441.98
  6. Step 6: Final answer
    x = 63,076.50

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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.