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Finding the Fourth Proportional to 102,296.50, 141,130.94 and 102,138.78

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Solution

The fourth proportional to 102,296.50, 141,130.94 and 102,138.78 is: 140,913.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,296.50 : 141,130.94 = 102,138.78 : x
  2. Step 2: Convert to fraction form
    102,296.50/141,130.94 = 102,138.78/x
  3. Step 3: Cross multiply
    102,296.50x = 141,130.94 × 102,138.78
  4. Step 4: Simplify right side
    102,296.50x = 14,414,942,031.85
  5. Step 5: Solve for x
    x = 14,414,942,031.85/102,296.50
  6. Step 6: Final answer
    x = 140,913.35

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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.