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Finding the Fourth Proportional to 277,788.74, 383,328.59 and 163,072.08

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Solution

The fourth proportional to 277,788.74, 383,328.59 and 163,072.08 is: 225,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,788.74 : 383,328.59 = 163,072.08 : x
  2. Step 2: Convert to fraction form
    277,788.74/383,328.59 = 163,072.08/x
  3. Step 3: Cross multiply
    277,788.74x = 383,328.59 × 163,072.08
  4. Step 4: Simplify right side
    277,788.74x = 62,510,189,679.41
  5. Step 5: Solve for x
    x = 62,510,189,679.41/277,788.74
  6. Step 6: Final answer
    x = 225,027.81

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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.