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Finding the Fourth Proportional to 117,716.70, 176,344.65 and 70,830.30

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Solution

The fourth proportional to 117,716.70, 176,344.65 and 70,830.30 is: 106,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,716.70 : 176,344.65 = 70,830.30 : x
  2. Step 2: Convert to fraction form
    117,716.70/176,344.65 = 70,830.30/x
  3. Step 3: Cross multiply
    117,716.70x = 176,344.65 × 70,830.30
  4. Step 4: Simplify right side
    117,716.70x = 12,490,544,462.90
  5. Step 5: Solve for x
    x = 12,490,544,462.90/117,716.70
  6. Step 6: Final answer
    x = 106,106.82

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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.