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Finding the Fourth Proportional to 201,641.10, 302,461.64 and 75,291.20

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Solution

The fourth proportional to 201,641.10, 302,461.64 and 75,291.20 is: 112,936.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,641.10 : 302,461.64 = 75,291.20 : x
  2. Step 2: Convert to fraction form
    201,641.10/302,461.64 = 75,291.20/x
  3. Step 3: Cross multiply
    201,641.10x = 302,461.64 × 75,291.20
  4. Step 4: Simplify right side
    201,641.10x = 22,772,698,930.22
  5. Step 5: Solve for x
    x = 22,772,698,930.22/201,641.10
  6. Step 6: Final answer
    x = 112,936.79

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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.