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Finding the Fourth Proportional to 162,182.17, 243,296.48 and 49,871.80

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Solution

The fourth proportional to 162,182.17, 243,296.48 and 49,871.80 is: 74,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,182.17 : 243,296.48 = 49,871.80 : x
  2. Step 2: Convert to fraction form
    162,182.17/243,296.48 = 49,871.80/x
  3. Step 3: Cross multiply
    162,182.17x = 243,296.48 × 49,871.80
  4. Step 4: Simplify right side
    162,182.17x = 12,133,633,391.26
  5. Step 5: Solve for x
    x = 12,133,633,391.26/162,182.17
  6. Step 6: Final answer
    x = 74,814.84

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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.