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Finding the Fourth Proportional to 149,230.16, 205,931.40 and 82,157.84

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Solution

The fourth proportional to 149,230.16, 205,931.40 and 82,157.84 is: 113,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,230.16 : 205,931.40 = 82,157.84 : x
  2. Step 2: Convert to fraction form
    149,230.16/205,931.40 = 82,157.84/x
  3. Step 3: Cross multiply
    149,230.16x = 205,931.40 × 82,157.84
  4. Step 4: Simplify right side
    149,230.16x = 16,918,879,012.18
  5. Step 5: Solve for x
    x = 16,918,879,012.18/149,230.16
  6. Step 6: Final answer
    x = 113,374.39

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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.