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Finding the Fourth Proportional to 114,902.60, 172,430.44 and 55,742.62

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Solution

The fourth proportional to 114,902.60, 172,430.44 and 55,742.62 is: 83,651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,902.60 : 172,430.44 = 55,742.62 : x
  2. Step 2: Convert to fraction form
    114,902.60/172,430.44 = 55,742.62/x
  3. Step 3: Cross multiply
    114,902.60x = 172,430.44 × 55,742.62
  4. Step 4: Simplify right side
    114,902.60x = 9,611,724,493.35
  5. Step 5: Solve for x
    x = 9,611,724,493.35/114,902.60
  6. Step 6: Final answer
    x = 83,651.06

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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.