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Finding the Fourth Proportional to 194,577, 268,516.26 and 105,153

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Solution

The fourth proportional to 194,577, 268,516.26 and 105,153 is: 145,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,577 : 268,516.26 = 105,153 : x
  2. Step 2: Convert to fraction form
    194,577/268,516.26 = 105,153/x
  3. Step 3: Cross multiply
    194,577x = 268,516.26 × 105,153
  4. Step 4: Simplify right side
    194,577x = 28,235,290,287.78
  5. Step 5: Solve for x
    x = 28,235,290,287.78/194,577
  6. Step 6: Final answer
    x = 145,111.14

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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.