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Finding the Fourth Proportional to 297,178, 410,112.84 and 163,042

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Solution

The fourth proportional to 297,178, 410,112.84 and 163,042 is: 225,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,178 : 410,112.84 = 163,042 : x
  2. Step 2: Convert to fraction form
    297,178/410,112.84 = 163,042/x
  3. Step 3: Cross multiply
    297,178x = 410,112.84 × 163,042
  4. Step 4: Simplify right side
    297,178x = 66,865,617,659.28
  5. Step 5: Solve for x
    x = 66,865,617,659.28/297,178
  6. Step 6: Final answer
    x = 225,001.91

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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.