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Finding the Fourth Proportional to 200,655.30, 300,958.32 and 116,461.26

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Solution

The fourth proportional to 200,655.30, 300,958.32 and 116,461.26 is: 174,677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,655.30 : 300,958.32 = 116,461.26 : x
  2. Step 2: Convert to fraction form
    200,655.30/300,958.32 = 116,461.26/x
  3. Step 3: Cross multiply
    200,655.30x = 300,958.32 × 116,461.26
  4. Step 4: Simplify right side
    200,655.30x = 35,049,985,154.68
  5. Step 5: Solve for x
    x = 35,049,985,154.68/200,655.30
  6. Step 6: Final answer
    x = 174,677.59

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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.