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Finding the Fourth Proportional to 260,678.30, 359,652.45 and 145,940.09

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Solution

The fourth proportional to 260,678.30, 359,652.45 and 145,940.09 is: 201,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,678.30 : 359,652.45 = 145,940.09 : x
  2. Step 2: Convert to fraction form
    260,678.30/359,652.45 = 145,940.09/x
  3. Step 3: Cross multiply
    260,678.30x = 359,652.45 × 145,940.09
  4. Step 4: Simplify right side
    260,678.30x = 52,487,709,123.46
  5. Step 5: Solve for x
    x = 52,487,709,123.46/260,678.30
  6. Step 6: Final answer
    x = 201,350.51

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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.