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Finding the Fourth Proportional to 200,729.48, 301,091.61 and 48,927.32

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Solution

The fourth proportional to 200,729.48, 301,091.61 and 48,927.32 is: 73,390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,729.48 : 301,091.61 = 48,927.32 : x
  2. Step 2: Convert to fraction form
    200,729.48/301,091.61 = 48,927.32/x
  3. Step 3: Cross multiply
    200,729.48x = 301,091.61 × 48,927.32
  4. Step 4: Simplify right side
    200,729.48x = 14,731,604,046.33
  5. Step 5: Solve for x
    x = 14,731,604,046.33/200,729.48
  6. Step 6: Final answer
    x = 73,390.34

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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.