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Finding the Fourth Proportional to 145,757.97, 201,148.56 and 82,098.03

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Solution

The fourth proportional to 145,757.97, 201,148.56 and 82,098.03 is: 113,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,757.97 : 201,148.56 = 82,098.03 : x
  2. Step 2: Convert to fraction form
    145,757.97/201,148.56 = 82,098.03/x
  3. Step 3: Cross multiply
    145,757.97x = 201,148.56 × 82,098.03
  4. Step 4: Simplify right side
    145,757.97x = 16,513,900,513.34
  5. Step 5: Solve for x
    x = 16,513,900,513.34/145,757.97
  6. Step 6: Final answer
    x = 113,296.72

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1.5x scale

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.