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Finding the Fourth Proportional to 291,957.94, 402,902.03 and 164,633.57

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Solution

The fourth proportional to 291,957.94, 402,902.03 and 164,633.57 is: 227,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,957.94 : 402,902.03 = 164,633.57 : x
  2. Step 2: Convert to fraction form
    291,957.94/402,902.03 = 164,633.57/x
  3. Step 3: Cross multiply
    291,957.94x = 402,902.03 × 164,633.57
  4. Step 4: Simplify right side
    291,957.94x = 66,331,199,559.15
  5. Step 5: Solve for x
    x = 66,331,199,559.15/291,957.94
  6. Step 6: Final answer
    x = 227,194.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.