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Finding the Fourth Proportional to 133,667.73, 200,485.98 and 53,702.46

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Solution

The fourth proportional to 133,667.73, 200,485.98 and 53,702.46 is: 80,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,667.73 : 200,485.98 = 53,702.46 : x
  2. Step 2: Convert to fraction form
    133,667.73/200,485.98 = 53,702.46/x
  3. Step 3: Cross multiply
    133,667.73x = 200,485.98 × 53,702.46
  4. Step 4: Simplify right side
    133,667.73x = 10,766,590,321.51
  5. Step 5: Solve for x
    x = 10,766,590,321.51/133,667.73
  6. Step 6: Final answer
    x = 80,547.42

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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.