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Finding the Fourth Proportional to 194,616.52, 268,570.80 and 105,192.52

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Solution

The fourth proportional to 194,616.52, 268,570.80 and 105,192.52 is: 145,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,616.52 : 268,570.80 = 105,192.52 : x
  2. Step 2: Convert to fraction form
    194,616.52/268,570.80 = 105,192.52/x
  3. Step 3: Cross multiply
    194,616.52x = 268,570.80 × 105,192.52
  4. Step 4: Simplify right side
    194,616.52x = 28,251,639,250.42
  5. Step 5: Solve for x
    x = 28,251,639,250.42/194,616.52
  6. Step 6: Final answer
    x = 145,165.68

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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.