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Finding the Fourth Proportional to 71,094.50, 106,180.82 and 64,417.67

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Solution

The fourth proportional to 71,094.50, 106,180.82 and 64,417.67 is: 96,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,094.50 : 106,180.82 = 64,417.67 : x
  2. Step 2: Convert to fraction form
    71,094.50/106,180.82 = 64,417.67/x
  3. Step 3: Cross multiply
    71,094.50x = 106,180.82 × 64,417.67
  4. Step 4: Simplify right side
    71,094.50x = 6,839,920,170.10
  5. Step 5: Solve for x
    x = 6,839,920,170.10/71,094.50
  6. Step 6: Final answer
    x = 96,208.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.