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Finding the Fourth Proportional to 164,398.94, 226,846.21 and 99,834.60

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Solution

The fourth proportional to 164,398.94, 226,846.21 and 99,834.60 is: 137,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,398.94 : 226,846.21 = 99,834.60 : x
  2. Step 2: Convert to fraction form
    164,398.94/226,846.21 = 99,834.60/x
  3. Step 3: Cross multiply
    164,398.94x = 226,846.21 × 99,834.60
  4. Step 4: Simplify right side
    164,398.94x = 22,647,101,278.51
  5. Step 5: Solve for x
    x = 22,647,101,278.51/164,398.94
  6. Step 6: Final answer
    x = 137,756.98

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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.