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Finding the Fourth Proportional to 228,083.26, 314,741.42 and 126,100.71

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Solution

The fourth proportional to 228,083.26, 314,741.42 and 126,100.71 is: 174,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,083.26 : 314,741.42 = 126,100.71 : x
  2. Step 2: Convert to fraction form
    228,083.26/314,741.42 = 126,100.71/x
  3. Step 3: Cross multiply
    228,083.26x = 314,741.42 × 126,100.71
  4. Step 4: Simplify right side
    228,083.26x = 39,689,117,168.05
  5. Step 5: Solve for x
    x = 39,689,117,168.05/228,083.26
  6. Step 6: Final answer
    x = 174,011.53

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1.5x scale

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.