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Finding the Fourth Proportional to 164,316, 226,756.16 and 88,864.48

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Solution

The fourth proportional to 164,316, 226,756.16 and 88,864.48 is: 122,633.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,316 : 226,756.16 = 88,864.48 : x
  2. Step 2: Convert to fraction form
    164,316/226,756.16 = 88,864.48/x
  3. Step 3: Cross multiply
    164,316x = 226,756.16 × 88,864.48
  4. Step 4: Simplify right side
    164,316x = 20,150,568,245.20
  5. Step 5: Solve for x
    x = 20,150,568,245.20/164,316
  6. Step 6: Final answer
    x = 122,633.03

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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.