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Finding the Fourth Proportional to 157,096.48, 216,794.08 and 85,477.04

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Solution

The fourth proportional to 157,096.48, 216,794.08 and 85,477.04 is: 117,958.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,096.48 : 216,794.08 = 85,477.04 : x
  2. Step 2: Convert to fraction form
    157,096.48/216,794.08 = 85,477.04/x
  3. Step 3: Cross multiply
    157,096.48x = 216,794.08 × 85,477.04
  4. Step 4: Simplify right side
    157,096.48x = 18,530,916,247.92
  5. Step 5: Solve for x
    x = 18,530,916,247.92/157,096.48
  6. Step 6: Final answer
    x = 117,958.83

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1.5x scale

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.