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Finding the Fourth Proportional to 228,683.52, 315,576 and 126,714.24

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Solution

The fourth proportional to 228,683.52, 315,576 and 126,714.24 is: 174,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,683.52 : 315,576 = 126,714.24 : x
  2. Step 2: Convert to fraction form
    228,683.52/315,576 = 126,714.24/x
  3. Step 3: Cross multiply
    228,683.52x = 315,576 × 126,714.24
  4. Step 4: Simplify right side
    228,683.52x = 39,987,973,002.24
  5. Step 5: Solve for x
    x = 39,987,973,002.24/228,683.52
  6. Step 6: Final answer
    x = 174,861.63

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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.