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Finding the Fourth Proportional to 164,022.24, 246,072 and 53,214.24

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Solution

The fourth proportional to 164,022.24, 246,072 and 53,214.24 is: 79,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,022.24 : 246,072 = 53,214.24 : x
  2. Step 2: Convert to fraction form
    164,022.24/246,072 = 53,214.24/x
  3. Step 3: Cross multiply
    164,022.24x = 246,072 × 53,214.24
  4. Step 4: Simplify right side
    164,022.24x = 13,094,534,465.28
  5. Step 5: Solve for x
    x = 13,094,534,465.28/164,022.24
  6. Step 6: Final answer
    x = 79,833.90

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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.