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Finding the Fourth Proportional to 194,901.66, 268,964.29 and 105,477.66

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Solution

The fourth proportional to 194,901.66, 268,964.29 and 105,477.66 is: 145,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,901.66 : 268,964.29 = 105,477.66 : x
  2. Step 2: Convert to fraction form
    194,901.66/268,964.29 = 105,477.66/x
  3. Step 3: Cross multiply
    194,901.66x = 268,964.29 × 105,477.66
  4. Step 4: Simplify right side
    194,901.66x = 28,369,723,932.76
  5. Step 5: Solve for x
    x = 28,369,723,932.76/194,901.66
  6. Step 6: Final answer
    x = 145,559.17

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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.