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Finding the Fourth Proportional to 102,307.54, 141,191.50 and 62,023

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Solution

The fourth proportional to 102,307.54, 141,191.50 and 62,023 is: 85,596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,307.54 : 141,191.50 = 62,023 : x
  2. Step 2: Convert to fraction form
    102,307.54/141,191.50 = 62,023/x
  3. Step 3: Cross multiply
    102,307.54x = 141,191.50 × 62,023
  4. Step 4: Simplify right side
    102,307.54x = 8,757,120,404.50
  5. Step 5: Solve for x
    x = 8,757,120,404.50/102,307.54
  6. Step 6: Final answer
    x = 85,596.04

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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.