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Finding the Fourth Proportional to 169,315.20, 253,964.70 and 56,984.40

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Solution

The fourth proportional to 169,315.20, 253,964.70 and 56,984.40 is: 85,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,315.20 : 253,964.70 = 56,984.40 : x
  2. Step 2: Convert to fraction form
    169,315.20/253,964.70 = 56,984.40/x
  3. Step 3: Cross multiply
    169,315.20x = 253,964.70 × 56,984.40
  4. Step 4: Simplify right side
    169,315.20x = 14,472,026,050.68
  5. Step 5: Solve for x
    x = 14,472,026,050.68/169,315.20
  6. Step 6: Final answer
    x = 85,473.87

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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.