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Finding the Fourth Proportional to 194,718.94, 268,712.17 and 105,294.94

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Solution

The fourth proportional to 194,718.94, 268,712.17 and 105,294.94 is: 145,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,718.94 : 268,712.17 = 105,294.94 : x
  2. Step 2: Convert to fraction form
    194,718.94/268,712.17 = 105,294.94/x
  3. Step 3: Cross multiply
    194,718.94x = 268,712.17 × 105,294.94
  4. Step 4: Simplify right side
    194,718.94x = 28,294,030,882.40
  5. Step 5: Solve for x
    x = 28,294,030,882.40/194,718.94
  6. Step 6: Final answer
    x = 145,307.03

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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.