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Finding the Fourth Proportional to 127,508.25, 191,261.24 and 47,543.50

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Solution

The fourth proportional to 127,508.25, 191,261.24 and 47,543.50 is: 71,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,508.25 : 191,261.24 = 47,543.50 : x
  2. Step 2: Convert to fraction form
    127,508.25/191,261.24 = 47,543.50/x
  3. Step 3: Cross multiply
    127,508.25x = 191,261.24 × 47,543.50
  4. Step 4: Simplify right side
    127,508.25x = 9,093,228,048.07
  5. Step 5: Solve for x
    x = 9,093,228,048.07/127,508.25
  6. Step 6: Final answer
    x = 71,314.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.