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Finding the Fourth Proportional to 201,919.10, 302,854.53 and 83,576.30

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Solution

The fourth proportional to 201,919.10, 302,854.53 and 83,576.30 is: 125,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,919.10 : 302,854.53 = 83,576.30 : x
  2. Step 2: Convert to fraction form
    201,919.10/302,854.53 = 83,576.30/x
  3. Step 3: Cross multiply
    201,919.10x = 302,854.53 × 83,576.30
  4. Step 4: Simplify right side
    201,919.10x = 25,311,461,055.64
  5. Step 5: Solve for x
    x = 25,311,461,055.64/201,919.10
  6. Step 6: Final answer
    x = 125,354.47

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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.