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Finding the Fourth Proportional to 114,090.45, 170,986.23 and 54,808.17

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Solution

The fourth proportional to 114,090.45, 170,986.23 and 54,808.17 is: 82,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,090.45 : 170,986.23 = 54,808.17 : x
  2. Step 2: Convert to fraction form
    114,090.45/170,986.23 = 54,808.17/x
  3. Step 3: Cross multiply
    114,090.45x = 170,986.23 × 54,808.17
  4. Step 4: Simplify right side
    114,090.45x = 9,371,442,361.50
  5. Step 5: Solve for x
    x = 9,371,442,361.50/114,090.45
  6. Step 6: Final answer
    x = 82,140.46

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1.5x scale

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.