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Finding the Fourth Proportional to 135,825.90, 187,430.88 and 75,393.66

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Solution

The fourth proportional to 135,825.90, 187,430.88 and 75,393.66 is: 104,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,825.90 : 187,430.88 = 75,393.66 : x
  2. Step 2: Convert to fraction form
    135,825.90/187,430.88 = 75,393.66/x
  3. Step 3: Cross multiply
    135,825.90x = 187,430.88 × 75,393.66
  4. Step 4: Simplify right side
    135,825.90x = 14,131,100,040.22
  5. Step 5: Solve for x
    x = 14,131,100,040.22/135,825.90
  6. Step 6: Final answer
    x = 104,038.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.