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Finding the Fourth Proportional to 138,907.40, 208,280.62 and 122,300.80

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Solution

The fourth proportional to 138,907.40, 208,280.62 and 122,300.80 is: 183,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,907.40 : 208,280.62 = 122,300.80 : x
  2. Step 2: Convert to fraction form
    138,907.40/208,280.62 = 122,300.80/x
  3. Step 3: Cross multiply
    138,907.40x = 208,280.62 × 122,300.80
  4. Step 4: Simplify right side
    138,907.40x = 25,472,886,450.50
  5. Step 5: Solve for x
    x = 25,472,886,450.50/138,907.40
  6. Step 6: Final answer
    x = 183,380.34

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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.