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Finding the Fourth Proportional to 233,511.52, 350,043 and 149,033.20

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Solution

The fourth proportional to 233,511.52, 350,043 and 149,033.20 is: 223,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,511.52 : 350,043 = 149,033.20 : x
  2. Step 2: Convert to fraction form
    233,511.52/350,043 = 149,033.20/x
  3. Step 3: Cross multiply
    233,511.52x = 350,043 × 149,033.20
  4. Step 4: Simplify right side
    233,511.52x = 52,168,028,427.60
  5. Step 5: Solve for x
    x = 52,168,028,427.60/233,511.52
  6. Step 6: Final answer
    x = 223,406.66

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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.