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Finding the Fourth Proportional to 194,501, 268,411.38 and 105,077

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Solution

The fourth proportional to 194,501, 268,411.38 and 105,077 is: 145,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,501 : 268,411.38 = 105,077 : x
  2. Step 2: Convert to fraction form
    194,501/268,411.38 = 105,077/x
  3. Step 3: Cross multiply
    194,501x = 268,411.38 × 105,077
  4. Step 4: Simplify right side
    194,501x = 28,203,862,576.26
  5. Step 5: Solve for x
    x = 28,203,862,576.26/194,501
  6. Step 6: Final answer
    x = 145,006.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.