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Finding the Fourth Proportional to 328,202.42, 492,259.87 and 91,525.28

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Solution

The fourth proportional to 328,202.42, 492,259.87 and 91,525.28 is: 137,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,202.42 : 492,259.87 = 91,525.28 : x
  2. Step 2: Convert to fraction form
    328,202.42/492,259.87 = 91,525.28/x
  3. Step 3: Cross multiply
    328,202.42x = 492,259.87 × 91,525.28
  4. Step 4: Simplify right side
    328,202.42x = 45,054,220,087.62
  5. Step 5: Solve for x
    x = 45,054,220,087.62/328,202.42
  6. Step 6: Final answer
    x = 137,275.71

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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.