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Finding the Fourth Proportional to 194,436.21, 268,322.01 and 105,012.21

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Solution

The fourth proportional to 194,436.21, 268,322.01 and 105,012.21 is: 144,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,436.21 : 268,322.01 = 105,012.21 : x
  2. Step 2: Convert to fraction form
    194,436.21/268,322.01 = 105,012.21/x
  3. Step 3: Cross multiply
    194,436.21x = 268,322.01 × 105,012.21
  4. Step 4: Simplify right side
    194,436.21x = 28,177,087,261.74
  5. Step 5: Solve for x
    x = 28,177,087,261.74/194,436.21
  6. Step 6: Final answer
    x = 144,916.87

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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.