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Finding the Fourth Proportional to 145,958.94, 201,406.23 and 82,292.94

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Solution

The fourth proportional to 145,958.94, 201,406.23 and 82,292.94 is: 113,554.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,958.94 : 201,406.23 = 82,292.94 : x
  2. Step 2: Convert to fraction form
    145,958.94/201,406.23 = 82,292.94/x
  3. Step 3: Cross multiply
    145,958.94x = 201,406.23 × 82,292.94
  4. Step 4: Simplify right side
    145,958.94x = 16,574,310,801.02
  5. Step 5: Solve for x
    x = 16,574,310,801.02/145,958.94
  6. Step 6: Final answer
    x = 113,554.61

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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.