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Finding the Fourth Proportional to 233,645.21, 322,538.03 and 136,835.60

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Solution

The fourth proportional to 233,645.21, 322,538.03 and 136,835.60 is: 188,896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,645.21 : 322,538.03 = 136,835.60 : x
  2. Step 2: Convert to fraction form
    233,645.21/322,538.03 = 136,835.60/x
  3. Step 3: Cross multiply
    233,645.21x = 322,538.03 × 136,835.60
  4. Step 4: Simplify right side
    233,645.21x = 44,134,682,561.00
  5. Step 5: Solve for x
    x = 44,134,682,561.00/233,645.21
  6. Step 6: Final answer
    x = 188,896.16

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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.