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Finding the Fourth Proportional to 150,860.48, 208,164.32 and 87,186

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Solution

The fourth proportional to 150,860.48, 208,164.32 and 87,186 is: 120,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,860.48 : 208,164.32 = 87,186 : x
  2. Step 2: Convert to fraction form
    150,860.48/208,164.32 = 87,186/x
  3. Step 3: Cross multiply
    150,860.48x = 208,164.32 × 87,186
  4. Step 4: Simplify right side
    150,860.48x = 18,149,014,403.52
  5. Step 5: Solve for x
    x = 18,149,014,403.52/150,860.48
  6. Step 6: Final answer
    x = 120,303.31

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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.