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Finding the Fourth Proportional to 501,211.80, 751,850.46 and 146,196

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Solution

The fourth proportional to 501,211.80, 751,850.46 and 146,196 is: 219,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,211.80 : 751,850.46 = 146,196 : x
  2. Step 2: Convert to fraction form
    501,211.80/751,850.46 = 146,196/x
  3. Step 3: Cross multiply
    501,211.80x = 751,850.46 × 146,196
  4. Step 4: Simplify right side
    501,211.80x = 109,917,529,850.16
  5. Step 5: Solve for x
    x = 109,917,529,850.16/501,211.80
  6. Step 6: Final answer
    x = 219,303.56

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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.