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Finding the Fourth Proportional to 127,159.44, 190,733.16 and 47,213.31

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Solution

The fourth proportional to 127,159.44, 190,733.16 and 47,213.31 is: 70,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,159.44 : 190,733.16 = 47,213.31 : x
  2. Step 2: Convert to fraction form
    127,159.44/190,733.16 = 47,213.31/x
  3. Step 3: Cross multiply
    127,159.44x = 190,733.16 × 47,213.31
  4. Step 4: Simplify right side
    127,159.44x = 9,005,144,702.66
  5. Step 5: Solve for x
    x = 9,005,144,702.66/127,159.44
  6. Step 6: Final answer
    x = 70,817.75

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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.