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Finding the Fourth Proportional to 134,425, 201,637.50 and 46,873

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Solution

The fourth proportional to 134,425, 201,637.50 and 46,873 is: 70,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,425 : 201,637.50 = 46,873 : x
  2. Step 2: Convert to fraction form
    134,425/201,637.50 = 46,873/x
  3. Step 3: Cross multiply
    134,425x = 201,637.50 × 46,873
  4. Step 4: Simplify right side
    134,425x = 9,451,354,537.50
  5. Step 5: Solve for x
    x = 9,451,354,537.50/134,425
  6. Step 6: Final answer
    x = 70,309.50

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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.