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Finding the Fourth Proportional to 122,306.46, 183,440 and 33,539.36

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Solution

The fourth proportional to 122,306.46, 183,440 and 33,539.36 is: 50,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,306.46 : 183,440 = 33,539.36 : x
  2. Step 2: Convert to fraction form
    122,306.46/183,440 = 33,539.36/x
  3. Step 3: Cross multiply
    122,306.46x = 183,440 × 33,539.36
  4. Step 4: Simplify right side
    122,306.46x = 6,152,460,198.40
  5. Step 5: Solve for x
    x = 6,152,460,198.40/122,306.46
  6. Step 6: Final answer
    x = 50,303.64

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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.