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Finding the Fourth Proportional to 194,180.29, 268,051.71 and 130,555

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Solution

The fourth proportional to 194,180.29, 268,051.71 and 130,555 is: 180,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,180.29 : 268,051.71 = 130,555 : x
  2. Step 2: Convert to fraction form
    194,180.29/268,051.71 = 130,555/x
  3. Step 3: Cross multiply
    194,180.29x = 268,051.71 × 130,555
  4. Step 4: Simplify right side
    194,180.29x = 34,995,490,999.05
  5. Step 5: Solve for x
    x = 34,995,490,999.05/194,180.29
  6. Step 6: Final answer
    x = 180,221.64

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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.