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Finding the Fourth Proportional to 194,455, 268,348.10 and 105,031

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Solution

The fourth proportional to 194,455, 268,348.10 and 105,031 is: 144,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,455 : 268,348.10 = 105,031 : x
  2. Step 2: Convert to fraction form
    194,455/268,348.10 = 105,031/x
  3. Step 3: Cross multiply
    194,455x = 268,348.10 × 105,031
  4. Step 4: Simplify right side
    194,455x = 28,184,869,291.10
  5. Step 5: Solve for x
    x = 28,184,869,291.10/194,455
  6. Step 6: Final answer
    x = 144,942.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.