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Finding the Fourth Proportional to 133,073.02, 199,648.50 and 49,973.50

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Solution

The fourth proportional to 133,073.02, 199,648.50 and 49,973.50 is: 74,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,073.02 : 199,648.50 = 49,973.50 : x
  2. Step 2: Convert to fraction form
    133,073.02/199,648.50 = 49,973.50/x
  3. Step 3: Cross multiply
    133,073.02x = 199,648.50 × 49,973.50
  4. Step 4: Simplify right side
    133,073.02x = 9,977,134,314.75
  5. Step 5: Solve for x
    x = 9,977,134,314.75/133,073.02
  6. Step 6: Final answer
    x = 74,974.88

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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.