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Finding the Fourth Proportional to 162,406.80, 243,594.48 and 50,056.86

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Solution

The fourth proportional to 162,406.80, 243,594.48 and 50,056.86 is: 75,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,406.80 : 243,594.48 = 50,056.86 : x
  2. Step 2: Convert to fraction form
    162,406.80/243,594.48 = 50,056.86/x
  3. Step 3: Cross multiply
    162,406.80x = 243,594.48 × 50,056.86
  4. Step 4: Simplify right side
    162,406.80x = 12,193,574,782.13
  5. Step 5: Solve for x
    x = 12,193,574,782.13/162,406.80
  6. Step 6: Final answer
    x = 75,080.44

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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.