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Finding the Fourth Proportional to 201,447.83, 301,766.25 and 93,224.63

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Solution

The fourth proportional to 201,447.83, 301,766.25 and 93,224.63 is: 139,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,447.83 : 301,766.25 = 93,224.63 : x
  2. Step 2: Convert to fraction form
    201,447.83/301,766.25 = 93,224.63/x
  3. Step 3: Cross multiply
    201,447.83x = 301,766.25 × 93,224.63
  4. Step 4: Simplify right side
    201,447.83x = 28,132,047,002.74
  5. Step 5: Solve for x
    x = 28,132,047,002.74/201,447.83
  6. Step 6: Final answer
    x = 139,649.29

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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.