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Finding the Fourth Proportional to 119,820, 179,714.38 and 35,578.47

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Solution

The fourth proportional to 119,820, 179,714.38 and 35,578.47 is: 53,363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,820 : 179,714.38 = 35,578.47 : x
  2. Step 2: Convert to fraction form
    119,820/179,714.38 = 35,578.47/x
  3. Step 3: Cross multiply
    119,820x = 179,714.38 × 35,578.47
  4. Step 4: Simplify right side
    119,820x = 6,393,962,677.40
  5. Step 5: Solve for x
    x = 6,393,962,677.40/119,820
  6. Step 6: Final answer
    x = 53,363.07

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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.