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Finding the Fourth Proportional to 228,323.10, 315,212.56 and 137,702.10

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Solution

The fourth proportional to 228,323.10, 315,212.56 and 137,702.10 is: 190,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,323.10 : 315,212.56 = 137,702.10 : x
  2. Step 2: Convert to fraction form
    228,323.10/315,212.56 = 137,702.10/x
  3. Step 3: Cross multiply
    228,323.10x = 315,212.56 × 137,702.10
  4. Step 4: Simplify right side
    228,323.10x = 43,405,431,458.38
  5. Step 5: Solve for x
    x = 43,405,431,458.38/228,323.10
  6. Step 6: Final answer
    x = 190,105.30

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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.