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Finding the Fourth Proportional to 157,815.81, 236,764.42 and 45,504.86

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Solution

The fourth proportional to 157,815.81, 236,764.42 and 45,504.86 is: 68,269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,815.81 : 236,764.42 = 45,504.86 : x
  2. Step 2: Convert to fraction form
    157,815.81/236,764.42 = 45,504.86/x
  3. Step 3: Cross multiply
    157,815.81x = 236,764.42 × 45,504.86
  4. Step 4: Simplify right side
    157,815.81x = 10,773,930,487.50
  5. Step 5: Solve for x
    x = 10,773,930,487.50/157,815.81
  6. Step 6: Final answer
    x = 68,269.02

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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.