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Finding the Fourth Proportional to 194,457, 268,350.84 and 105,033

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Solution

The fourth proportional to 194,457, 268,350.84 and 105,033 is: 144,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,457 : 268,350.84 = 105,033 : x
  2. Step 2: Convert to fraction form
    194,457/268,350.84 = 105,033/x
  3. Step 3: Cross multiply
    194,457x = 268,350.84 × 105,033
  4. Step 4: Simplify right side
    194,457x = 28,185,693,777.72
  5. Step 5: Solve for x
    x = 28,185,693,777.72/194,457
  6. Step 6: Final answer
    x = 144,945.64

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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.