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Finding the Fourth Proportional to 174,964.97, 262,489.10 and 56,636.30

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Solution

The fourth proportional to 174,964.97, 262,489.10 and 56,636.30 is: 84,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,964.97 : 262,489.10 = 56,636.30 : x
  2. Step 2: Convert to fraction form
    174,964.97/262,489.10 = 56,636.30/x
  3. Step 3: Cross multiply
    174,964.97x = 262,489.10 × 56,636.30
  4. Step 4: Simplify right side
    174,964.97x = 14,866,409,818.70
  5. Step 5: Solve for x
    x = 14,866,409,818.70/174,964.97
  6. Step 6: Final answer
    x = 84,967.92

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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.