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Finding the Fourth Proportional to 201,348.63, 302,015.97 and 51,590.16

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Solution

The fourth proportional to 201,348.63, 302,015.97 and 51,590.16 is: 77,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,348.63 : 302,015.97 = 51,590.16 : x
  2. Step 2: Convert to fraction form
    201,348.63/302,015.97 = 51,590.16/x
  3. Step 3: Cross multiply
    201,348.63x = 302,015.97 × 51,590.16
  4. Step 4: Simplify right side
    201,348.63x = 15,581,052,214.86
  5. Step 5: Solve for x
    x = 15,581,052,214.86/201,348.63
  6. Step 6: Final answer
    x = 77,383.45

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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.