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Finding the Fourth Proportional to 117,209.66, 175,822.62 and 47,088.92

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Solution

The fourth proportional to 117,209.66, 175,822.62 and 47,088.92 is: 70,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,209.66 : 175,822.62 = 47,088.92 : x
  2. Step 2: Convert to fraction form
    117,209.66/175,822.62 = 47,088.92/x
  3. Step 3: Cross multiply
    117,209.66x = 175,822.62 × 47,088.92
  4. Step 4: Simplify right side
    117,209.66x = 8,279,297,287.37
  5. Step 5: Solve for x
    x = 8,279,297,287.37/117,209.66
  6. Step 6: Final answer
    x = 70,636.65

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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.