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Finding the Fourth Proportional to 164,078.80, 226,447.01 and 103,646.53

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Solution

The fourth proportional to 164,078.80, 226,447.01 and 103,646.53 is: 143,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,078.80 : 226,447.01 = 103,646.53 : x
  2. Step 2: Convert to fraction form
    164,078.80/226,447.01 = 103,646.53/x
  3. Step 3: Cross multiply
    164,078.80x = 226,447.01 × 103,646.53
  4. Step 4: Simplify right side
    164,078.80x = 23,470,446,815.38
  5. Step 5: Solve for x
    x = 23,470,446,815.38/164,078.80
  6. Step 6: Final answer
    x = 143,043.75

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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.