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Finding the Fourth Proportional to 201,646.52, 302,446.74 and 53,914.04

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Solution

The fourth proportional to 201,646.52, 302,446.74 and 53,914.04 is: 80,864.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,646.52 : 302,446.74 = 53,914.04 : x
  2. Step 2: Convert to fraction form
    201,646.52/302,446.74 = 53,914.04/x
  3. Step 3: Cross multiply
    201,646.52x = 302,446.74 × 53,914.04
  4. Step 4: Simplify right side
    201,646.52x = 16,306,125,638.23
  5. Step 5: Solve for x
    x = 16,306,125,638.23/201,646.52
  6. Step 6: Final answer
    x = 80,864.90

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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.