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Finding the Fourth Proportional to 164,043.66, 245,932.11 and 69,212.64

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Solution

The fourth proportional to 164,043.66, 245,932.11 and 69,212.64 is: 103,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,043.66 : 245,932.11 = 69,212.64 : x
  2. Step 2: Convert to fraction form
    164,043.66/245,932.11 = 69,212.64/x
  3. Step 3: Cross multiply
    164,043.66x = 245,932.11 × 69,212.64
  4. Step 4: Simplify right side
    164,043.66x = 17,021,610,593.87
  5. Step 5: Solve for x
    x = 17,021,610,593.87/164,043.66
  6. Step 6: Final answer
    x = 103,762.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.