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Finding the Fourth Proportional to 157,902.60, 236,777.04 and 52,686

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Solution

The fourth proportional to 157,902.60, 236,777.04 and 52,686 is: 79,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,902.60 : 236,777.04 = 52,686 : x
  2. Step 2: Convert to fraction form
    157,902.60/236,777.04 = 52,686/x
  3. Step 3: Cross multiply
    157,902.60x = 236,777.04 × 52,686
  4. Step 4: Simplify right side
    157,902.60x = 12,474,835,129.44
  5. Step 5: Solve for x
    x = 12,474,835,129.44/157,902.60
  6. Step 6: Final answer
    x = 79,003.35

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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.