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Finding the Fourth Proportional to 102,409.36, 141,267.03 and 64,102.41

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Solution

The fourth proportional to 102,409.36, 141,267.03 and 64,102.41 is: 88,425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,409.36 : 141,267.03 = 64,102.41 : x
  2. Step 2: Convert to fraction form
    102,409.36/141,267.03 = 64,102.41/x
  3. Step 3: Cross multiply
    102,409.36x = 141,267.03 × 64,102.41
  4. Step 4: Simplify right side
    102,409.36x = 9,055,557,316.93
  5. Step 5: Solve for x
    x = 9,055,557,316.93/102,409.36
  6. Step 6: Final answer
    x = 88,425.09

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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.