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Finding the Fourth Proportional to 164,207, 246,310.56 and 39,548

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Solution

The fourth proportional to 164,207, 246,310.56 and 39,548 is: 59,322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,207 : 246,310.56 = 39,548 : x
  2. Step 2: Convert to fraction form
    164,207/246,310.56 = 39,548/x
  3. Step 3: Cross multiply
    164,207x = 246,310.56 × 39,548
  4. Step 4: Simplify right side
    164,207x = 9,741,090,026.88
  5. Step 5: Solve for x
    x = 9,741,090,026.88/164,207
  6. Step 6: Final answer
    x = 59,322.01

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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.