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Finding the Fourth Proportional to 241,475.64, 362,131.44 and 83,667.30

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Solution

The fourth proportional to 241,475.64, 362,131.44 and 83,667.30 is: 125,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,475.64 : 362,131.44 = 83,667.30 : x
  2. Step 2: Convert to fraction form
    241,475.64/362,131.44 = 83,667.30/x
  3. Step 3: Cross multiply
    241,475.64x = 362,131.44 × 83,667.30
  4. Step 4: Simplify right side
    241,475.64x = 30,298,559,829.91
  5. Step 5: Solve for x
    x = 30,298,559,829.91/241,475.64
  6. Step 6: Final answer
    x = 125,472.53

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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.