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Finding the Fourth Proportional to 164,205, 226,604.88 and 99,655.56

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Solution

The fourth proportional to 164,205, 226,604.88 and 99,655.56 is: 137,525.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,205 : 226,604.88 = 99,655.56 : x
  2. Step 2: Convert to fraction form
    164,205/226,604.88 = 99,655.56/x
  3. Step 3: Cross multiply
    164,205x = 226,604.88 × 99,655.56
  4. Step 4: Simplify right side
    164,205x = 22,582,436,215.13
  5. Step 5: Solve for x
    x = 22,582,436,215.13/164,205
  6. Step 6: Final answer
    x = 137,525.87

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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.