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Finding the Fourth Proportional to 164,672.16, 227,253.94 and 100,122.86

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Solution

The fourth proportional to 164,672.16, 227,253.94 and 100,122.86 is: 138,173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,672.16 : 227,253.94 = 100,122.86 : x
  2. Step 2: Convert to fraction form
    164,672.16/227,253.94 = 100,122.86/x
  3. Step 3: Cross multiply
    164,672.16x = 227,253.94 × 100,122.86
  4. Step 4: Simplify right side
    164,672.16x = 22,753,314,419.07
  5. Step 5: Solve for x
    x = 22,753,314,419.07/164,672.16
  6. Step 6: Final answer
    x = 138,173.41

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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.