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Finding the Fourth Proportional to 157,225.96, 217,102.44 and 145,829.32

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Solution

The fourth proportional to 157,225.96, 217,102.44 and 145,829.32 is: 201,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,225.96 : 217,102.44 = 145,829.32 : x
  2. Step 2: Convert to fraction form
    157,225.96/217,102.44 = 145,829.32/x
  3. Step 3: Cross multiply
    157,225.96x = 217,102.44 × 145,829.32
  4. Step 4: Simplify right side
    157,225.96x = 31,659,901,195.54
  5. Step 5: Solve for x
    x = 31,659,901,195.54/157,225.96
  6. Step 6: Final answer
    x = 201,365.61

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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.