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Finding the Fourth Proportional to 227,166.81, 313,492.33 and 125,196

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Solution

The fourth proportional to 227,166.81, 313,492.33 and 125,196 is: 172,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,166.81 : 313,492.33 = 125,196 : x
  2. Step 2: Convert to fraction form
    227,166.81/313,492.33 = 125,196/x
  3. Step 3: Cross multiply
    227,166.81x = 313,492.33 × 125,196
  4. Step 4: Simplify right side
    227,166.81x = 39,247,985,746.68
  5. Step 5: Solve for x
    x = 39,247,985,746.68/227,166.81
  6. Step 6: Final answer
    x = 172,771.66

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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.