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Finding the Fourth Proportional to 164,577.64, 246,679.80 and 75,647.40

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Solution

The fourth proportional to 164,577.64, 246,679.80 and 75,647.40 is: 113,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,577.64 : 246,679.80 = 75,647.40 : x
  2. Step 2: Convert to fraction form
    164,577.64/246,679.80 = 75,647.40/x
  3. Step 3: Cross multiply
    164,577.64x = 246,679.80 × 75,647.40
  4. Step 4: Simplify right side
    164,577.64x = 18,660,685,502.52
  5. Step 5: Solve for x
    x = 18,660,685,502.52/164,577.64
  6. Step 6: Final answer
    x = 113,385.30

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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.