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Finding the Fourth Proportional to 164,967.76, 227,659.92 and 89,516.32

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Solution

The fourth proportional to 164,967.76, 227,659.92 and 89,516.32 is: 123,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,967.76 : 227,659.92 = 89,516.32 : x
  2. Step 2: Convert to fraction form
    164,967.76/227,659.92 = 89,516.32/x
  3. Step 3: Cross multiply
    164,967.76x = 227,659.92 × 89,516.32
  4. Step 4: Simplify right side
    164,967.76x = 20,379,278,249.89
  5. Step 5: Solve for x
    x = 20,379,278,249.89/164,967.76
  6. Step 6: Final answer
    x = 123,534.92

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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.