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Finding the Fourth Proportional to 194,494.08, 268,401.92 and 105,070.08

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Solution

The fourth proportional to 194,494.08, 268,401.92 and 105,070.08 is: 144,996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,494.08 : 268,401.92 = 105,070.08 : x
  2. Step 2: Convert to fraction form
    194,494.08/268,401.92 = 105,070.08/x
  3. Step 3: Cross multiply
    194,494.08x = 268,401.92 × 105,070.08
  4. Step 4: Simplify right side
    194,494.08x = 28,201,011,206.55
  5. Step 5: Solve for x
    x = 28,201,011,206.55/194,494.08
  6. Step 6: Final answer
    x = 144,996.76

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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.