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Finding the Fourth Proportional to 164,506.07, 227,019.96 and 96,524.21

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Solution

The fourth proportional to 164,506.07, 227,019.96 and 96,524.21 is: 133,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,506.07 : 227,019.96 = 96,524.21 : x
  2. Step 2: Convert to fraction form
    164,506.07/227,019.96 = 96,524.21/x
  3. Step 3: Cross multiply
    164,506.07x = 227,019.96 × 96,524.21
  4. Step 4: Simplify right side
    164,506.07x = 21,912,921,158.13
  5. Step 5: Solve for x
    x = 21,912,921,158.13/164,506.07
  6. Step 6: Final answer
    x = 133,204.34

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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.