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Finding the Fourth Proportional to 184,805.20, 277,207.80 and 166,142.80

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Solution

The fourth proportional to 184,805.20, 277,207.80 and 166,142.80 is: 249,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,805.20 : 277,207.80 = 166,142.80 : x
  2. Step 2: Convert to fraction form
    184,805.20/277,207.80 = 166,142.80/x
  3. Step 3: Cross multiply
    184,805.20x = 277,207.80 × 166,142.80
  4. Step 4: Simplify right side
    184,805.20x = 46,056,080,073.84
  5. Step 5: Solve for x
    x = 46,056,080,073.84/184,805.20
  6. Step 6: Final answer
    x = 249,214.20

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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.