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Finding the Fourth Proportional to 136,665.93, 205,000.72 and 47,922.03

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Solution

The fourth proportional to 136,665.93, 205,000.72 and 47,922.03 is: 71,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,665.93 : 205,000.72 = 47,922.03 : x
  2. Step 2: Convert to fraction form
    136,665.93/205,000.72 = 47,922.03/x
  3. Step 3: Cross multiply
    136,665.93x = 205,000.72 × 47,922.03
  4. Step 4: Simplify right side
    136,665.93x = 9,824,050,803.62
  5. Step 5: Solve for x
    x = 9,824,050,803.62/136,665.93
  6. Step 6: Final answer
    x = 71,883.68

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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.