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Finding the Fourth Proportional to 301,771.36, 452,712.24 and 99,378.96

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Solution

The fourth proportional to 301,771.36, 452,712.24 and 99,378.96 is: 149,086.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,771.36 : 452,712.24 = 99,378.96 : x
  2. Step 2: Convert to fraction form
    301,771.36/452,712.24 = 99,378.96/x
  3. Step 3: Cross multiply
    301,771.36x = 452,712.24 × 99,378.96
  4. Step 4: Simplify right side
    301,771.36x = 44,990,071,590.47
  5. Step 5: Solve for x
    x = 44,990,071,590.47/301,771.36
  6. Step 6: Final answer
    x = 149,086.62

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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.