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Finding the Fourth Proportional to 201,818.08, 302,622.01 and 75,354.32

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Solution

The fourth proportional to 201,818.08, 302,622.01 and 75,354.32 is: 112,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,818.08 : 302,622.01 = 75,354.32 : x
  2. Step 2: Convert to fraction form
    201,818.08/302,622.01 = 75,354.32/x
  3. Step 3: Cross multiply
    201,818.08x = 302,622.01 × 75,354.32
  4. Step 4: Simplify right side
    201,818.08x = 22,803,876,348.75
  5. Step 5: Solve for x
    x = 22,803,876,348.75/201,818.08
  6. Step 6: Final answer
    x = 112,992.24

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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.