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Finding the Fourth Proportional to 200,765.37, 301,192.61 and 60,513.87

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Solution

The fourth proportional to 200,765.37, 301,192.61 and 60,513.87 is: 90,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,765.37 : 301,192.61 = 60,513.87 : x
  2. Step 2: Convert to fraction form
    200,765.37/301,192.61 = 60,513.87/x
  3. Step 3: Cross multiply
    200,765.37x = 301,192.61 × 60,513.87
  4. Step 4: Simplify right side
    200,765.37x = 18,226,330,446.50
  5. Step 5: Solve for x
    x = 18,226,330,446.50/200,765.37
  6. Step 6: Final answer
    x = 90,784.23

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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.