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Finding the Fourth Proportional to 194,903, 268,966.16 and 105,479

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Solution

The fourth proportional to 194,903, 268,966.16 and 105,479 is: 145,561.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,903 : 268,966.16 = 105,479 : x
  2. Step 2: Convert to fraction form
    194,903/268,966.16 = 105,479/x
  3. Step 3: Cross multiply
    194,903x = 268,966.16 × 105,479
  4. Step 4: Simplify right side
    194,903x = 28,370,281,590.64
  5. Step 5: Solve for x
    x = 28,370,281,590.64/194,903
  6. Step 6: Final answer
    x = 145,561.03

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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.