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Finding the Fourth Proportional to 155,281.78, 232,865.37 and 55,415.26

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Solution

The fourth proportional to 155,281.78, 232,865.37 and 55,415.26 is: 83,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,281.78 : 232,865.37 = 55,415.26 : x
  2. Step 2: Convert to fraction form
    155,281.78/232,865.37 = 55,415.26/x
  3. Step 3: Cross multiply
    155,281.78x = 232,865.37 × 55,415.26
  4. Step 4: Simplify right side
    155,281.78x = 12,904,295,023.55
  5. Step 5: Solve for x
    x = 12,904,295,023.55/155,281.78
  6. Step 6: Final answer
    x = 83,102.44

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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.