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Finding the Fourth Proportional to 103,512.36, 142,745.58 and 65,721

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Solution

The fourth proportional to 103,512.36, 142,745.58 and 65,721 is: 90,630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,512.36 : 142,745.58 = 65,721 : x
  2. Step 2: Convert to fraction form
    103,512.36/142,745.58 = 65,721/x
  3. Step 3: Cross multiply
    103,512.36x = 142,745.58 × 65,721
  4. Step 4: Simplify right side
    103,512.36x = 9,381,382,263.18
  5. Step 5: Solve for x
    x = 9,381,382,263.18/103,512.36
  6. Step 6: Final answer
    x = 90,630.55

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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.