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Finding the Fourth Proportional to 103,515.36, 142,749.72 and 65,724

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Solution

The fourth proportional to 103,515.36, 142,749.72 and 65,724 is: 90,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,515.36 : 142,749.72 = 65,724 : x
  2. Step 2: Convert to fraction form
    103,515.36/142,749.72 = 65,724/x
  3. Step 3: Cross multiply
    103,515.36x = 142,749.72 × 65,724
  4. Step 4: Simplify right side
    103,515.36x = 9,382,082,597.28
  5. Step 5: Solve for x
    x = 9,382,082,597.28/103,515.36
  6. Step 6: Final answer
    x = 90,634.69

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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.