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Finding the Fourth Proportional to 296,525.80, 444,702.30 and 106,964.20

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Solution

The fourth proportional to 296,525.80, 444,702.30 and 106,964.20 is: 160,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,525.80 : 444,702.30 = 106,964.20 : x
  2. Step 2: Convert to fraction form
    296,525.80/444,702.30 = 106,964.20/x
  3. Step 3: Cross multiply
    296,525.80x = 444,702.30 × 106,964.20
  4. Step 4: Simplify right side
    296,525.80x = 47,567,225,757.66
  5. Step 5: Solve for x
    x = 47,567,225,757.66/296,525.80
  6. Step 6: Final answer
    x = 160,415.13

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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.