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Finding the Fourth Proportional to 179,184, 268,814.86 and 54,521.76

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Solution

The fourth proportional to 179,184, 268,814.86 and 54,521.76 is: 81,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,184 : 268,814.86 = 54,521.76 : x
  2. Step 2: Convert to fraction form
    179,184/268,814.86 = 54,521.76/x
  3. Step 3: Cross multiply
    179,184x = 268,814.86 × 54,521.76
  4. Step 4: Simplify right side
    179,184x = 14,656,259,281.35
  5. Step 5: Solve for x
    x = 14,656,259,281.35/179,184
  6. Step 6: Final answer
    x = 81,794.46

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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.