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Finding the Fourth Proportional to 150,749.52, 208,050.84 and 86,224.68

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Solution

The fourth proportional to 150,749.52, 208,050.84 and 86,224.68 is: 118,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,749.52 : 208,050.84 = 86,224.68 : x
  2. Step 2: Convert to fraction form
    150,749.52/208,050.84 = 86,224.68/x
  3. Step 3: Cross multiply
    150,749.52x = 208,050.84 × 86,224.68
  4. Step 4: Simplify right side
    150,749.52x = 17,939,117,102.73
  5. Step 5: Solve for x
    x = 17,939,117,102.73/150,749.52
  6. Step 6: Final answer
    x = 118,999.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.