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Finding the Fourth Proportional to 291,942.75, 402,881.04 and 157,806.75

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Solution

The fourth proportional to 291,942.75, 402,881.04 and 157,806.75 is: 217,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,942.75 : 402,881.04 = 157,806.75 : x
  2. Step 2: Convert to fraction form
    291,942.75/402,881.04 = 157,806.75/x
  3. Step 3: Cross multiply
    291,942.75x = 402,881.04 × 157,806.75
  4. Step 4: Simplify right side
    291,942.75x = 63,577,347,559.02
  5. Step 5: Solve for x
    x = 63,577,347,559.02/291,942.75
  6. Step 6: Final answer
    x = 217,773.34

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