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Finding the Fourth Proportional to 164,199, 246,298.56 and 39,540

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Solution

The fourth proportional to 164,199, 246,298.56 and 39,540 is: 59,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,199 : 246,298.56 = 39,540 : x
  2. Step 2: Convert to fraction form
    164,199/246,298.56 = 39,540/x
  3. Step 3: Cross multiply
    164,199x = 246,298.56 × 39,540
  4. Step 4: Simplify right side
    164,199x = 9,738,645,062.40
  5. Step 5: Solve for x
    x = 9,738,645,062.40/164,199
  6. Step 6: Final answer
    x = 59,310.01

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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.