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Finding the Fourth Proportional to 201,114.86, 301,400.12 and 76,387.82

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Solution

The fourth proportional to 201,114.86, 301,400.12 and 76,387.82 is: 114,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,114.86 : 301,400.12 = 76,387.82 : x
  2. Step 2: Convert to fraction form
    201,114.86/301,400.12 = 76,387.82/x
  3. Step 3: Cross multiply
    201,114.86x = 301,400.12 × 76,387.82
  4. Step 4: Simplify right side
    201,114.86x = 23,023,298,114.54
  5. Step 5: Solve for x
    x = 23,023,298,114.54/201,114.86
  6. Step 6: Final answer
    x = 114,478.35

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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.