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Finding the Fourth Proportional to 164,437.40, 246,583.20 and 75,645.20

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Solution

The fourth proportional to 164,437.40, 246,583.20 and 75,645.20 is: 113,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,437.40 : 246,583.20 = 75,645.20 : x
  2. Step 2: Convert to fraction form
    164,437.40/246,583.20 = 75,645.20/x
  3. Step 3: Cross multiply
    164,437.40x = 246,583.20 × 75,645.20
  4. Step 4: Simplify right side
    164,437.40x = 18,652,835,480.64
  5. Step 5: Solve for x
    x = 18,652,835,480.64/164,437.40
  6. Step 6: Final answer
    x = 113,434.26

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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.