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Finding the Fourth Proportional to 194,535, 268,458.66 and 105,111

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Solution

The fourth proportional to 194,535, 268,458.66 and 105,111 is: 145,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,535 : 268,458.66 = 105,111 : x
  2. Step 2: Convert to fraction form
    194,535/268,458.66 = 105,111/x
  3. Step 3: Cross multiply
    194,535x = 268,458.66 × 105,111
  4. Step 4: Simplify right side
    194,535x = 28,217,958,211.26
  5. Step 5: Solve for x
    x = 28,217,958,211.26/194,535
  6. Step 6: Final answer
    x = 145,053.37

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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.