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Finding the Fourth Proportional to 194,686, 268,666.68 and 105,262

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Solution

The fourth proportional to 194,686, 268,666.68 and 105,262 is: 145,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,686 : 268,666.68 = 105,262 : x
  2. Step 2: Convert to fraction form
    194,686/268,666.68 = 105,262/x
  3. Step 3: Cross multiply
    194,686x = 268,666.68 × 105,262
  4. Step 4: Simplify right side
    194,686x = 28,280,392,070.16
  5. Step 5: Solve for x
    x = 28,280,392,070.16/194,686
  6. Step 6: Final answer
    x = 145,261.56

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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.