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Finding the Fourth Proportional to 230,346.31, 317,784.26 and 152,858.49

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Solution

The fourth proportional to 230,346.31, 317,784.26 and 152,858.49 is: 210,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,346.31 : 317,784.26 = 152,858.49 : x
  2. Step 2: Convert to fraction form
    230,346.31/317,784.26 = 152,858.49/x
  3. Step 3: Cross multiply
    230,346.31x = 317,784.26 × 152,858.49
  4. Step 4: Simplify right side
    230,346.31x = 48,576,022,129.37
  5. Step 5: Solve for x
    x = 48,576,022,129.37/230,346.31
  6. Step 6: Final answer
    x = 210,882.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.