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Finding the Fourth Proportional to 164,454.64, 246,690.03 and 53,646.64

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Solution

The fourth proportional to 164,454.64, 246,690.03 and 53,646.64 is: 80,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,454.64 : 246,690.03 = 53,646.64 : x
  2. Step 2: Convert to fraction form
    164,454.64/246,690.03 = 53,646.64/x
  3. Step 3: Cross multiply
    164,454.64x = 246,690.03 × 53,646.64
  4. Step 4: Simplify right side
    164,454.64x = 13,234,091,231.00
  5. Step 5: Solve for x
    x = 13,234,091,231.00/164,454.64
  6. Step 6: Final answer
    x = 80,472.59

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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.