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Finding the Fourth Proportional to 157,002.75, 216,662.72 and 85,382.60

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Solution

The fourth proportional to 157,002.75, 216,662.72 and 85,382.60 is: 117,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,002.75 : 216,662.72 = 85,382.60 : x
  2. Step 2: Convert to fraction form
    157,002.75/216,662.72 = 85,382.60/x
  3. Step 3: Cross multiply
    157,002.75x = 216,662.72 × 85,382.60
  4. Step 4: Simplify right side
    157,002.75x = 18,499,224,846.45
  5. Step 5: Solve for x
    x = 18,499,224,846.45/157,002.75
  6. Step 6: Final answer
    x = 117,827.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.