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Finding the Fourth Proportional to 192,509.36, 288,783.84 and 72,667.26

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Solution

The fourth proportional to 192,509.36, 288,783.84 and 72,667.26 is: 109,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,509.36 : 288,783.84 = 72,667.26 : x
  2. Step 2: Convert to fraction form
    192,509.36/288,783.84 = 72,667.26/x
  3. Step 3: Cross multiply
    192,509.36x = 288,783.84 × 72,667.26
  4. Step 4: Simplify right side
    192,509.36x = 20,985,129,302.14
  5. Step 5: Solve for x
    x = 20,985,129,302.14/192,509.36
  6. Step 6: Final answer
    x = 109,008.36

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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.