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Finding the Fourth Proportional to 181,384.70, 272,077.74 and 55,026.05

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Solution

The fourth proportional to 181,384.70, 272,077.74 and 55,026.05 is: 82,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,384.70 : 272,077.74 = 55,026.05 : x
  2. Step 2: Convert to fraction form
    181,384.70/272,077.74 = 55,026.05/x
  3. Step 3: Cross multiply
    181,384.70x = 272,077.74 × 55,026.05
  4. Step 4: Simplify right side
    181,384.70x = 14,971,361,964.74
  5. Step 5: Solve for x
    x = 14,971,361,964.74/181,384.70
  6. Step 6: Final answer
    x = 82,539.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.