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Finding the Fourth Proportional to 201,818.64, 302,622.85 and 75,354.89

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Solution

The fourth proportional to 201,818.64, 302,622.85 and 75,354.89 is: 112,993.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,818.64 : 302,622.85 = 75,354.89 : x
  2. Step 2: Convert to fraction form
    201,818.64/302,622.85 = 75,354.89/x
  3. Step 3: Cross multiply
    201,818.64x = 302,622.85 × 75,354.89
  4. Step 4: Simplify right side
    201,818.64x = 22,804,110,154.32
  5. Step 5: Solve for x
    x = 22,804,110,154.32/201,818.64
  6. Step 6: Final answer
    x = 112,993.08

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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.