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Finding the Fourth Proportional to 194,839.50, 268,878.51 and 105,415.50

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Solution

The fourth proportional to 194,839.50, 268,878.51 and 105,415.50 is: 145,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,839.50 : 268,878.51 = 105,415.50 : x
  2. Step 2: Convert to fraction form
    194,839.50/268,878.51 = 105,415.50/x
  3. Step 3: Cross multiply
    194,839.50x = 268,878.51 × 105,415.50
  4. Step 4: Simplify right side
    194,839.50x = 28,343,962,570.91
  5. Step 5: Solve for x
    x = 28,343,962,570.91/194,839.50
  6. Step 6: Final answer
    x = 145,473.39

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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.