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Finding the Fourth Proportional to 259,415.40, 388,907.10 and 109,770.60

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Solution

The fourth proportional to 259,415.40, 388,907.10 and 109,770.60 is: 164,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,415.40 : 388,907.10 = 109,770.60 : x
  2. Step 2: Convert to fraction form
    259,415.40/388,907.10 = 109,770.60/x
  3. Step 3: Cross multiply
    259,415.40x = 388,907.10 × 109,770.60
  4. Step 4: Simplify right side
    259,415.40x = 42,690,565,711.26
  5. Step 5: Solve for x
    x = 42,690,565,711.26/259,415.40
  6. Step 6: Final answer
    x = 164,564.50

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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.