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Finding the Fourth Proportional to 102,987.36, 142,072.38 and 64,794.24

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Solution

The fourth proportional to 102,987.36, 142,072.38 and 64,794.24 is: 89,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,987.36 : 142,072.38 = 64,794.24 : x
  2. Step 2: Convert to fraction form
    102,987.36/142,072.38 = 64,794.24/x
  3. Step 3: Cross multiply
    102,987.36x = 142,072.38 × 64,794.24
  4. Step 4: Simplify right side
    102,987.36x = 9,205,471,887.09
  5. Step 5: Solve for x
    x = 9,205,471,887.09/102,987.36
  6. Step 6: Final answer
    x = 89,384.48

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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.