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Finding the Fourth Proportional to 152,044.41, 209,818 and 84,064.26

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Solution

The fourth proportional to 152,044.41, 209,818 and 84,064.26 is: 116,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,044.41 : 209,818 = 84,064.26 : x
  2. Step 2: Convert to fraction form
    152,044.41/209,818 = 84,064.26/x
  3. Step 3: Cross multiply
    152,044.41x = 209,818 × 84,064.26
  4. Step 4: Simplify right side
    152,044.41x = 17,638,194,904.68
  5. Step 5: Solve for x
    x = 17,638,194,904.68/152,044.41
  6. Step 6: Final answer
    x = 116,006.86

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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.