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Finding the Fourth Proportional to 164,211.60, 226,614.21 and 99,662.31

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Solution

The fourth proportional to 164,211.60, 226,614.21 and 99,662.31 is: 137,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,211.60 : 226,614.21 = 99,662.31 : x
  2. Step 2: Convert to fraction form
    164,211.60/226,614.21 = 99,662.31/x
  3. Step 3: Cross multiply
    164,211.60x = 226,614.21 × 99,662.31
  4. Step 4: Simplify right side
    164,211.60x = 22,584,895,647.43
  5. Step 5: Solve for x
    x = 22,584,895,647.43/164,211.60
  6. Step 6: Final answer
    x = 137,535.32

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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.