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Finding the Fourth Proportional to 194,641.49, 268,605.65 and 105,217.49

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Solution

The fourth proportional to 194,641.49, 268,605.65 and 105,217.49 is: 145,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,641.49 : 268,605.65 = 105,217.49 : x
  2. Step 2: Convert to fraction form
    194,641.49/268,605.65 = 105,217.49/x
  3. Step 3: Cross multiply
    194,641.49x = 268,605.65 × 105,217.49
  4. Step 4: Simplify right side
    194,641.49x = 28,262,012,292.82
  5. Step 5: Solve for x
    x = 28,262,012,292.82/194,641.49
  6. Step 6: Final answer
    x = 145,200.35

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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.