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Finding the Fourth Proportional to 316,839.40, 475,241.82 and 106,455.40

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Solution

The fourth proportional to 316,839.40, 475,241.82 and 106,455.40 is: 159,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,839.40 : 475,241.82 = 106,455.40 : x
  2. Step 2: Convert to fraction form
    316,839.40/475,241.82 = 106,455.40/x
  3. Step 3: Cross multiply
    316,839.40x = 475,241.82 × 106,455.40
  4. Step 4: Simplify right side
    316,839.40x = 50,592,058,044.83
  5. Step 5: Solve for x
    x = 50,592,058,044.83/316,839.40
  6. Step 6: Final answer
    x = 159,677.29

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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.