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Finding the Fourth Proportional to 232,969.67, 349,415.57 and 64,507.02

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Solution

The fourth proportional to 232,969.67, 349,415.57 and 64,507.02 is: 96,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,969.67 : 349,415.57 = 64,507.02 : x
  2. Step 2: Convert to fraction form
    232,969.67/349,415.57 = 64,507.02/x
  3. Step 3: Cross multiply
    232,969.67x = 349,415.57 × 64,507.02
  4. Step 4: Simplify right side
    232,969.67x = 22,539,757,323.57
  5. Step 5: Solve for x
    x = 22,539,757,323.57/232,969.67
  6. Step 6: Final answer
    x = 96,749.75

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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.