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Finding the Fourth Proportional to 164,430.80, 246,646.20 and 75,857.30

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Solution

The fourth proportional to 164,430.80, 246,646.20 and 75,857.30 is: 113,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,430.80 : 246,646.20 = 75,857.30 : x
  2. Step 2: Convert to fraction form
    164,430.80/246,646.20 = 75,857.30/x
  3. Step 3: Cross multiply
    164,430.80x = 246,646.20 × 75,857.30
  4. Step 4: Simplify right side
    164,430.80x = 18,709,914,787.26
  5. Step 5: Solve for x
    x = 18,709,914,787.26/164,430.80
  6. Step 6: Final answer
    x = 113,785.95

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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.