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Finding the Fourth Proportional to 194,885.88, 268,943.40 and 105,461.88

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Solution

The fourth proportional to 194,885.88, 268,943.40 and 105,461.88 is: 145,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,885.88 : 268,943.40 = 105,461.88 : x
  2. Step 2: Convert to fraction form
    194,885.88/268,943.40 = 105,461.88/x
  3. Step 3: Cross multiply
    194,885.88x = 268,943.40 × 105,461.88
  4. Step 4: Simplify right side
    194,885.88x = 28,363,276,577.59
  5. Step 5: Solve for x
    x = 28,363,276,577.59/194,885.88
  6. Step 6: Final answer
    x = 145,537.87

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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.