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Finding the Fourth Proportional to 122,156.42, 183,232.04 and 33,409.94

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Solution

The fourth proportional to 122,156.42, 183,232.04 and 33,409.94 is: 50,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,156.42 : 183,232.04 = 33,409.94 : x
  2. Step 2: Convert to fraction form
    122,156.42/183,232.04 = 33,409.94/x
  3. Step 3: Cross multiply
    122,156.42x = 183,232.04 × 33,409.94
  4. Step 4: Simplify right side
    122,156.42x = 6,121,771,753.51
  5. Step 5: Solve for x
    x = 6,121,771,753.51/122,156.42
  6. Step 6: Final answer
    x = 50,114.20

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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.