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Finding the Fourth Proportional to 164,513.80, 246,828.30 and 71,048.20

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Solution

The fourth proportional to 164,513.80, 246,828.30 and 71,048.20 is: 106,597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,513.80 : 246,828.30 = 71,048.20 : x
  2. Step 2: Convert to fraction form
    164,513.80/246,828.30 = 71,048.20/x
  3. Step 3: Cross multiply
    164,513.80x = 246,828.30 × 71,048.20
  4. Step 4: Simplify right side
    164,513.80x = 17,536,706,424.06
  5. Step 5: Solve for x
    x = 17,536,706,424.06/164,513.80
  6. Step 6: Final answer
    x = 106,597.18

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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.