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Finding the Fourth Proportional to 117,709.70, 176,334.15 and 70,823.30

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Solution

The fourth proportional to 117,709.70, 176,334.15 and 70,823.30 is: 106,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,709.70 : 176,334.15 = 70,823.30 : x
  2. Step 2: Convert to fraction form
    117,709.70/176,334.15 = 70,823.30/x
  3. Step 3: Cross multiply
    117,709.70x = 176,334.15 × 70,823.30
  4. Step 4: Simplify right side
    117,709.70x = 12,488,566,405.70
  5. Step 5: Solve for x
    x = 12,488,566,405.70/117,709.70
  6. Step 6: Final answer
    x = 106,096.32

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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.