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Finding the Fourth Proportional to 122,323.60, 183,485.40 and 82,465.53

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Solution

The fourth proportional to 122,323.60, 183,485.40 and 82,465.53 is: 123,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,323.60 : 183,485.40 = 82,465.53 : x
  2. Step 2: Convert to fraction form
    122,323.60/183,485.40 = 82,465.53/x
  3. Step 3: Cross multiply
    122,323.60x = 183,485.40 × 82,465.53
  4. Step 4: Simplify right side
    122,323.60x = 15,131,219,840.84
  5. Step 5: Solve for x
    x = 15,131,219,840.84/122,323.60
  6. Step 6: Final answer
    x = 123,698.29

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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.