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Finding the Fourth Proportional to 194,901, 268,963.38 and 105,477

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Solution

The fourth proportional to 194,901, 268,963.38 and 105,477 is: 145,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,901 : 268,963.38 = 105,477 : x
  2. Step 2: Convert to fraction form
    194,901/268,963.38 = 105,477/x
  3. Step 3: Cross multiply
    194,901x = 268,963.38 × 105,477
  4. Step 4: Simplify right side
    194,901x = 28,369,450,432.26
  5. Step 5: Solve for x
    x = 28,369,450,432.26/194,901
  6. Step 6: Final answer
    x = 145,558.26

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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.