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Finding the Fourth Proportional to 102,415.41, 141,294.24 and 75,622.23

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Solution

The fourth proportional to 102,415.41, 141,294.24 and 75,622.23 is: 104,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,415.41 : 141,294.24 = 75,622.23 : x
  2. Step 2: Convert to fraction form
    102,415.41/141,294.24 = 75,622.23/x
  3. Step 3: Cross multiply
    102,415.41x = 141,294.24 × 75,622.23
  4. Step 4: Simplify right side
    102,415.41x = 10,684,985,514.96
  5. Step 5: Solve for x
    x = 10,684,985,514.96/102,415.41
  6. Step 6: Final answer
    x = 104,329.86

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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.