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Finding the Fourth Proportional to 301,825.54, 452,401.14 and 130,849.86

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Solution

The fourth proportional to 301,825.54, 452,401.14 and 130,849.86 is: 196,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,825.54 : 452,401.14 = 130,849.86 : x
  2. Step 2: Convert to fraction form
    301,825.54/452,401.14 = 130,849.86/x
  3. Step 3: Cross multiply
    301,825.54x = 452,401.14 × 130,849.86
  4. Step 4: Simplify right side
    301,825.54x = 59,196,625,832.84
  5. Step 5: Solve for x
    x = 59,196,625,832.84/301,825.54
  6. Step 6: Final answer
    x = 196,128.62

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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.