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Finding the Fourth Proportional to 228,157.24, 342,294.16 and 94,993.24

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Solution

The fourth proportional to 228,157.24, 342,294.16 and 94,993.24 is: 142,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,157.24 : 342,294.16 = 94,993.24 : x
  2. Step 2: Convert to fraction form
    228,157.24/342,294.16 = 94,993.24/x
  3. Step 3: Cross multiply
    228,157.24x = 342,294.16 × 94,993.24
  4. Step 4: Simplify right side
    228,157.24x = 32,515,631,291.48
  5. Step 5: Solve for x
    x = 32,515,631,291.48/228,157.24
  6. Step 6: Final answer
    x = 142,514.13

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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.