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Finding the Fourth Proportional to 205,361.40, 307,811.70 and 87,012.60

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Solution

The fourth proportional to 205,361.40, 307,811.70 and 87,012.60 is: 130,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,361.40 : 307,811.70 = 87,012.60 : x
  2. Step 2: Convert to fraction form
    205,361.40/307,811.70 = 87,012.60/x
  3. Step 3: Cross multiply
    205,361.40x = 307,811.70 × 87,012.60
  4. Step 4: Simplify right side
    205,361.40x = 26,783,496,327.42
  5. Step 5: Solve for x
    x = 26,783,496,327.42/205,361.40
  6. Step 6: Final answer
    x = 130,421.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.