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Finding the Fourth Proportional to 162,033.42, 243,106.05 and 67,314.48

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Solution

The fourth proportional to 162,033.42, 243,106.05 and 67,314.48 is: 100,994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,033.42 : 243,106.05 = 67,314.48 : x
  2. Step 2: Convert to fraction form
    162,033.42/243,106.05 = 67,314.48/x
  3. Step 3: Cross multiply
    162,033.42x = 243,106.05 × 67,314.48
  4. Step 4: Simplify right side
    162,033.42x = 16,364,557,340.60
  5. Step 5: Solve for x
    x = 16,364,557,340.60/162,033.42
  6. Step 6: Final answer
    x = 100,994.95

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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.