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Finding the Fourth Proportional to 162,953.20, 244,429.80 and 57,782.80

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Solution

The fourth proportional to 162,953.20, 244,429.80 and 57,782.80 is: 86,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,953.20 : 244,429.80 = 57,782.80 : x
  2. Step 2: Convert to fraction form
    162,953.20/244,429.80 = 57,782.80/x
  3. Step 3: Cross multiply
    162,953.20x = 244,429.80 × 57,782.80
  4. Step 4: Simplify right side
    162,953.20x = 14,123,838,247.44
  5. Step 5: Solve for x
    x = 14,123,838,247.44/162,953.20
  6. Step 6: Final answer
    x = 86,674.20

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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.