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Finding the Fourth Proportional to 194,480, 268,382.64 and 105,056

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Solution

The fourth proportional to 194,480, 268,382.64 and 105,056 is: 144,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,480 : 268,382.64 = 105,056 : x
  2. Step 2: Convert to fraction form
    194,480/268,382.64 = 105,056/x
  3. Step 3: Cross multiply
    194,480x = 268,382.64 × 105,056
  4. Step 4: Simplify right side
    194,480x = 28,195,206,627.84
  5. Step 5: Solve for x
    x = 28,195,206,627.84/194,480
  6. Step 6: Final answer
    x = 144,977.41

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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.