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Finding the Fourth Proportional to 194,838.50, 268,877.13 and 105,414.50

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Solution

The fourth proportional to 194,838.50, 268,877.13 and 105,414.50 is: 145,472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,838.50 : 268,877.13 = 105,414.50 : x
  2. Step 2: Convert to fraction form
    194,838.50/268,877.13 = 105,414.50/x
  3. Step 3: Cross multiply
    194,838.50x = 268,877.13 × 105,414.50
  4. Step 4: Simplify right side
    194,838.50x = 28,343,548,220.39
  5. Step 5: Solve for x
    x = 28,343,548,220.39/194,838.50
  6. Step 6: Final answer
    x = 145,472.01

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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.