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Finding the Fourth Proportional to 257,408.34, 355,223.61 and 156,806.34

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Solution

The fourth proportional to 257,408.34, 355,223.61 and 156,806.34 is: 216,392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,408.34 : 355,223.61 = 156,806.34 : x
  2. Step 2: Convert to fraction form
    257,408.34/355,223.61 = 156,806.34/x
  3. Step 3: Cross multiply
    257,408.34x = 355,223.61 × 156,806.34
  4. Step 4: Simplify right side
    257,408.34x = 55,701,314,165.69
  5. Step 5: Solve for x
    x = 55,701,314,165.69/257,408.34
  6. Step 6: Final answer
    x = 216,392.81

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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.