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Finding the Fourth Proportional to 162,409.18, 243,655.80 and 50,086.91

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Solution

The fourth proportional to 162,409.18, 243,655.80 and 50,086.91 is: 75,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,409.18 : 243,655.80 = 50,086.91 : x
  2. Step 2: Convert to fraction form
    162,409.18/243,655.80 = 50,086.91/x
  3. Step 3: Cross multiply
    162,409.18x = 243,655.80 × 50,086.91
  4. Step 4: Simplify right side
    162,409.18x = 12,203,966,125.58
  5. Step 5: Solve for x
    x = 12,203,966,125.58/162,409.18
  6. Step 6: Final answer
    x = 75,143.33

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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.