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Finding the Fourth Proportional to 228,311.41, 342,469.47 and 101,958.09

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Solution

The fourth proportional to 228,311.41, 342,469.47 and 101,958.09 is: 152,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,311.41 : 342,469.47 = 101,958.09 : x
  2. Step 2: Convert to fraction form
    228,311.41/342,469.47 = 101,958.09/x
  3. Step 3: Cross multiply
    228,311.41x = 342,469.47 × 101,958.09
  4. Step 4: Simplify right side
    228,311.41x = 34,917,533,495.47
  5. Step 5: Solve for x
    x = 34,917,533,495.47/228,311.41
  6. Step 6: Final answer
    x = 152,938.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.