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Finding the Fourth Proportional to 201,594.54, 302,459.84 and 89,259.42

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Solution

The fourth proportional to 201,594.54, 302,459.84 and 89,259.42 is: 133,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,594.54 : 302,459.84 = 89,259.42 : x
  2. Step 2: Convert to fraction form
    201,594.54/302,459.84 = 89,259.42/x
  3. Step 3: Cross multiply
    201,594.54x = 302,459.84 × 89,259.42
  4. Step 4: Simplify right side
    201,594.54x = 26,997,389,891.69
  5. Step 5: Solve for x
    x = 26,997,389,891.69/201,594.54
  6. Step 6: Final answer
    x = 133,919.25

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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.