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Finding the Fourth Proportional to 194,643.92, 268,607.88 and 105,219.92

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Solution

The fourth proportional to 194,643.92, 268,607.88 and 105,219.92 is: 145,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,643.92 : 268,607.88 = 105,219.92 : x
  2. Step 2: Convert to fraction form
    194,643.92/268,607.88 = 105,219.92/x
  3. Step 3: Cross multiply
    194,643.92x = 268,607.88 × 105,219.92
  4. Step 4: Simplify right side
    194,643.92x = 28,262,899,644.97
  5. Step 5: Solve for x
    x = 28,262,899,644.97/194,643.92
  6. Step 6: Final answer
    x = 145,203.10

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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.