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Finding the Fourth Proportional to 259,710.30, 389,881.35 and 164,940.30

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Solution

The fourth proportional to 259,710.30, 389,881.35 and 164,940.30 is: 247,611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,710.30 : 389,881.35 = 164,940.30 : x
  2. Step 2: Convert to fraction form
    259,710.30/389,881.35 = 164,940.30/x
  3. Step 3: Cross multiply
    259,710.30x = 389,881.35 × 164,940.30
  4. Step 4: Simplify right side
    259,710.30x = 64,307,146,833.41
  5. Step 5: Solve for x
    x = 64,307,146,833.41/259,710.30
  6. Step 6: Final answer
    x = 247,611.08

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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.