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Finding the Fourth Proportional to 162,180.14, 243,293.49 and 49,869.80

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Solution

The fourth proportional to 162,180.14, 243,293.49 and 49,869.80 is: 74,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,180.14 : 243,293.49 = 49,869.80 : x
  2. Step 2: Convert to fraction form
    162,180.14/243,293.49 = 49,869.80/x
  3. Step 3: Cross multiply
    162,180.14x = 243,293.49 × 49,869.80
  4. Step 4: Simplify right side
    162,180.14x = 12,132,997,687.60
  5. Step 5: Solve for x
    x = 12,132,997,687.60/162,180.14
  6. Step 6: Final answer
    x = 74,811.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.