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Finding the Fourth Proportional to 194,434.20, 268,319.14 and 105,010.20

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Solution

The fourth proportional to 194,434.20, 268,319.14 and 105,010.20 is: 144,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,434.20 : 268,319.14 = 105,010.20 : x
  2. Step 2: Convert to fraction form
    194,434.20/268,319.14 = 105,010.20/x
  3. Step 3: Cross multiply
    194,434.20x = 268,319.14 × 105,010.20
  4. Step 4: Simplify right side
    194,434.20x = 28,176,246,555.23
  5. Step 5: Solve for x
    x = 28,176,246,555.23/194,434.20
  6. Step 6: Final answer
    x = 144,914.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.