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Finding the Fourth Proportional to 292,686.11, 403,905.93 and 165,361.67

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Solution

The fourth proportional to 292,686.11, 403,905.93 and 165,361.67 is: 228,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,686.11 : 403,905.93 = 165,361.67 : x
  2. Step 2: Convert to fraction form
    292,686.11/403,905.93 = 165,361.67/x
  3. Step 3: Cross multiply
    292,686.11x = 403,905.93 × 165,361.67
  4. Step 4: Simplify right side
    292,686.11x = 66,790,559,107.70
  5. Step 5: Solve for x
    x = 66,790,559,107.70/292,686.11
  6. Step 6: Final answer
    x = 228,198.60

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Why These Related Problems?

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