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Finding the Fourth Proportional to 117,713.70, 176,340.15 and 70,827.30

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Solution

The fourth proportional to 117,713.70, 176,340.15 and 70,827.30 is: 106,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,713.70 : 176,340.15 = 70,827.30 : x
  2. Step 2: Convert to fraction form
    117,713.70/176,340.15 = 70,827.30/x
  3. Step 3: Cross multiply
    117,713.70x = 176,340.15 × 70,827.30
  4. Step 4: Simplify right side
    117,713.70x = 12,489,696,706.10
  5. Step 5: Solve for x
    x = 12,489,696,706.10/117,713.70
  6. Step 6: Final answer
    x = 106,102.32

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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.