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Finding the Fourth Proportional to 220,551.40, 304,359.78 and 164,045.80

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Solution

The fourth proportional to 220,551.40, 304,359.78 and 164,045.80 is: 226,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,551.40 : 304,359.78 = 164,045.80 : x
  2. Step 2: Convert to fraction form
    220,551.40/304,359.78 = 164,045.80/x
  3. Step 3: Cross multiply
    220,551.40x = 304,359.78 × 164,045.80
  4. Step 4: Simplify right side
    220,551.40x = 49,928,943,597.92
  5. Step 5: Solve for x
    x = 49,928,943,597.92/220,551.40
  6. Step 6: Final answer
    x = 226,382.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.