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Finding the Fourth Proportional to 203,895.82, 305,970.02 and 118,546.84

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Solution

The fourth proportional to 203,895.82, 305,970.02 and 118,546.84 is: 177,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,895.82 : 305,970.02 = 118,546.84 : x
  2. Step 2: Convert to fraction form
    203,895.82/305,970.02 = 118,546.84/x
  3. Step 3: Cross multiply
    203,895.82x = 305,970.02 × 118,546.84
  4. Step 4: Simplify right side
    203,895.82x = 36,271,779,302.10
  5. Step 5: Solve for x
    x = 36,271,779,302.10/203,895.82
  6. Step 6: Final answer
    x = 177,893.69

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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.