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Finding the Fourth Proportional to 300,045.06, 414,062.17 and 164,079.11

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Solution

The fourth proportional to 300,045.06, 414,062.17 and 164,079.11 is: 226,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,045.06 : 414,062.17 = 164,079.11 : x
  2. Step 2: Convert to fraction form
    300,045.06/414,062.17 = 164,079.11/x
  3. Step 3: Cross multiply
    300,045.06x = 414,062.17 × 164,079.11
  4. Step 4: Simplify right side
    300,045.06x = 67,938,952,963.23
  5. Step 5: Solve for x
    x = 67,938,952,963.23/300,045.06
  6. Step 6: Final answer
    x = 226,429.17

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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.