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Finding the Fourth Proportional to 136,745.94, 205,102.35 and 36,898.50

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Solution

The fourth proportional to 136,745.94, 205,102.35 and 36,898.50 is: 55,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,745.94 : 205,102.35 = 36,898.50 : x
  2. Step 2: Convert to fraction form
    136,745.94/205,102.35 = 36,898.50/x
  3. Step 3: Cross multiply
    136,745.94x = 205,102.35 × 36,898.50
  4. Step 4: Simplify right side
    136,745.94x = 7,567,969,061.48
  5. Step 5: Solve for x
    x = 7,567,969,061.48/136,745.94
  6. Step 6: Final answer
    x = 55,343.28

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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.