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Finding the Fourth Proportional to 204,765.57, 282,577.90 and 114,127.38

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Solution

The fourth proportional to 204,765.57, 282,577.90 and 114,127.38 is: 157,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,765.57 : 282,577.90 = 114,127.38 : x
  2. Step 2: Convert to fraction form
    204,765.57/282,577.90 = 114,127.38/x
  3. Step 3: Cross multiply
    204,765.57x = 282,577.90 × 114,127.38
  4. Step 4: Simplify right side
    204,765.57x = 32,249,875,372.90
  5. Step 5: Solve for x
    x = 32,249,875,372.90/204,765.57
  6. Step 6: Final answer
    x = 157,496.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.