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Finding the Fourth Proportional to 127,722.96, 191,490.82 and 43,460.47

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Solution

The fourth proportional to 127,722.96, 191,490.82 and 43,460.47 is: 65,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,722.96 : 191,490.82 = 43,460.47 : x
  2. Step 2: Convert to fraction form
    127,722.96/191,490.82 = 43,460.47/x
  3. Step 3: Cross multiply
    127,722.96x = 191,490.82 × 43,460.47
  4. Step 4: Simplify right side
    127,722.96x = 8,322,281,615.49
  5. Step 5: Solve for x
    x = 8,322,281,615.49/127,722.96
  6. Step 6: Final answer
    x = 65,158.85

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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.