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Finding the Fourth Proportional to 194,940, 269,018.01 and 105,516

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Solution

The fourth proportional to 194,940, 269,018.01 and 105,516 is: 145,612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,940 : 269,018.01 = 105,516 : x
  2. Step 2: Convert to fraction form
    194,940/269,018.01 = 105,516/x
  3. Step 3: Cross multiply
    194,940x = 269,018.01 × 105,516
  4. Step 4: Simplify right side
    194,940x = 28,385,704,343.16
  5. Step 5: Solve for x
    x = 28,385,704,343.16/194,940
  6. Step 6: Final answer
    x = 145,612.52

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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.