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Finding the Fourth Proportional to 301,262.02, 415,747 and 165,302.70

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Solution

The fourth proportional to 301,262.02, 415,747 and 165,302.70 is: 228,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,262.02 : 415,747 = 165,302.70 : x
  2. Step 2: Convert to fraction form
    301,262.02/415,747 = 165,302.70/x
  3. Step 3: Cross multiply
    301,262.02x = 415,747 × 165,302.70
  4. Step 4: Simplify right side
    301,262.02x = 68,724,101,616.90
  5. Step 5: Solve for x
    x = 68,724,101,616.90/301,262.02
  6. Step 6: Final answer
    x = 228,120.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.