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Finding the Fourth Proportional to 301,459.84, 451,845.77 and 121,429.98

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Solution

The fourth proportional to 301,459.84, 451,845.77 and 121,429.98 is: 182,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,459.84 : 451,845.77 = 121,429.98 : x
  2. Step 2: Convert to fraction form
    301,459.84/451,845.77 = 121,429.98/x
  3. Step 3: Cross multiply
    301,459.84x = 451,845.77 × 121,429.98
  4. Step 4: Simplify right side
    301,459.84x = 54,867,620,967.98
  5. Step 5: Solve for x
    x = 54,867,620,967.98/301,459.84
  6. Step 6: Final answer
    x = 182,006.40

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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.