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Finding the Fourth Proportional to 213,074.40, 319,611.60 and 175,020.60

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Solution

The fourth proportional to 213,074.40, 319,611.60 and 175,020.60 is: 262,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,074.40 : 319,611.60 = 175,020.60 : x
  2. Step 2: Convert to fraction form
    213,074.40/319,611.60 = 175,020.60/x
  3. Step 3: Cross multiply
    213,074.40x = 319,611.60 × 175,020.60
  4. Step 4: Simplify right side
    213,074.40x = 55,938,613,998.96
  5. Step 5: Solve for x
    x = 55,938,613,998.96/213,074.40
  6. Step 6: Final answer
    x = 262,530.90

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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.