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Finding the Fourth Proportional to 155,163.90, 232,745.85 and 96,114.90

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Solution

The fourth proportional to 155,163.90, 232,745.85 and 96,114.90 is: 144,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,163.90 : 232,745.85 = 96,114.90 : x
  2. Step 2: Convert to fraction form
    155,163.90/232,745.85 = 96,114.90/x
  3. Step 3: Cross multiply
    155,163.90x = 232,745.85 × 96,114.90
  4. Step 4: Simplify right side
    155,163.90x = 22,370,344,098.17
  5. Step 5: Solve for x
    x = 22,370,344,098.17/155,163.90
  6. Step 6: Final answer
    x = 144,172.35

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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.