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Finding the Fourth Proportional to 164,427.37, 226,826.02 and 99,879.38

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Solution

The fourth proportional to 164,427.37, 226,826.02 and 99,879.38 is: 137,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,427.37 : 226,826.02 = 99,879.38 : x
  2. Step 2: Convert to fraction form
    164,427.37/226,826.02 = 99,879.38/x
  3. Step 3: Cross multiply
    164,427.37x = 226,826.02 × 99,879.38
  4. Step 4: Simplify right side
    164,427.37x = 22,655,242,086.78
  5. Step 5: Solve for x
    x = 22,655,242,086.78/164,427.37
  6. Step 6: Final answer
    x = 137,782.67

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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.