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Finding the Fourth Proportional to 230,828.40, 345,659.40 and 151,513.20

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Solution

The fourth proportional to 230,828.40, 345,659.40 and 151,513.20 is: 226,886.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,828.40 : 345,659.40 = 151,513.20 : x
  2. Step 2: Convert to fraction form
    230,828.40/345,659.40 = 151,513.20/x
  3. Step 3: Cross multiply
    230,828.40x = 345,659.40 × 151,513.20
  4. Step 4: Simplify right side
    230,828.40x = 52,371,961,804.08
  5. Step 5: Solve for x
    x = 52,371,961,804.08/230,828.40
  6. Step 6: Final answer
    x = 226,886.99

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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.