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Finding the Fourth Proportional to 164,465.80, 226,963.49 and 89,014.30

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Solution

The fourth proportional to 164,465.80, 226,963.49 and 89,014.30 is: 122,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,465.80 : 226,963.49 = 89,014.30 : x
  2. Step 2: Convert to fraction form
    164,465.80/226,963.49 = 89,014.30/x
  3. Step 3: Cross multiply
    164,465.80x = 226,963.49 × 89,014.30
  4. Step 4: Simplify right side
    164,465.80x = 20,202,994,608.02
  5. Step 5: Solve for x
    x = 20,202,994,608.02/164,465.80
  6. Step 6: Final answer
    x = 122,840.10

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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.