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Finding the Fourth Proportional to 270,524.64, 405,823.95 and 112,716.27

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Solution

The fourth proportional to 270,524.64, 405,823.95 and 112,716.27 is: 169,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,524.64 : 405,823.95 = 112,716.27 : x
  2. Step 2: Convert to fraction form
    270,524.64/405,823.95 = 112,716.27/x
  3. Step 3: Cross multiply
    270,524.64x = 405,823.95 × 112,716.27
  4. Step 4: Simplify right side
    270,524.64x = 45,742,961,920.67
  5. Step 5: Solve for x
    x = 45,742,961,920.67/270,524.64
  6. Step 6: Final answer
    x = 169,089.82

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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.