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Finding the Fourth Proportional to 157,192.64, 216,861.72 and 96,745.04

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Solution

The fourth proportional to 157,192.64, 216,861.72 and 96,745.04 is: 133,468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,192.64 : 216,861.72 = 96,745.04 : x
  2. Step 2: Convert to fraction form
    157,192.64/216,861.72 = 96,745.04/x
  3. Step 3: Cross multiply
    157,192.64x = 216,861.72 × 96,745.04
  4. Step 4: Simplify right side
    157,192.64x = 20,980,295,775.87
  5. Step 5: Solve for x
    x = 20,980,295,775.87/157,192.64
  6. Step 6: Final answer
    x = 133,468.69

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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.