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Finding the Fourth Proportional to 164,438.40, 246,657.60 and 130,977.30

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Solution

The fourth proportional to 164,438.40, 246,657.60 and 130,977.30 is: 196,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,438.40 : 246,657.60 = 130,977.30 : x
  2. Step 2: Convert to fraction form
    164,438.40/246,657.60 = 130,977.30/x
  3. Step 3: Cross multiply
    164,438.40x = 246,657.60 × 130,977.30
  4. Step 4: Simplify right side
    164,438.40x = 32,306,546,472.48
  5. Step 5: Solve for x
    x = 32,306,546,472.48/164,438.40
  6. Step 6: Final answer
    x = 196,465.95

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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.