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Finding the Fourth Proportional to 227,658, 314,145.58 and 125,676.84

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Solution

The fourth proportional to 227,658, 314,145.58 and 125,676.84 is: 173,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,658 : 314,145.58 = 125,676.84 : x
  2. Step 2: Convert to fraction form
    227,658/314,145.58 = 125,676.84/x
  3. Step 3: Cross multiply
    227,658x = 314,145.58 × 125,676.84
  4. Step 4: Simplify right side
    227,658x = 39,480,823,794.37
  5. Step 5: Solve for x
    x = 39,480,823,794.37/227,658
  6. Step 6: Final answer
    x = 173,421.64

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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.