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Finding the Fourth Proportional to 233,181.80, 349,772.70 and 144,708.20

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Solution

The fourth proportional to 233,181.80, 349,772.70 and 144,708.20 is: 217,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,181.80 : 349,772.70 = 144,708.20 : x
  2. Step 2: Convert to fraction form
    233,181.80/349,772.70 = 144,708.20/x
  3. Step 3: Cross multiply
    233,181.80x = 349,772.70 × 144,708.20
  4. Step 4: Simplify right side
    233,181.80x = 50,614,977,826.14
  5. Step 5: Solve for x
    x = 50,614,977,826.14/233,181.80
  6. Step 6: Final answer
    x = 217,062.30

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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.