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Finding the Fourth Proportional to 116,205.88, 160,357 and 65,209.90

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Solution

The fourth proportional to 116,205.88, 160,357 and 65,209.90 is: 89,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,205.88 : 160,357 = 65,209.90 : x
  2. Step 2: Convert to fraction form
    116,205.88/160,357 = 65,209.90/x
  3. Step 3: Cross multiply
    116,205.88x = 160,357 × 65,209.90
  4. Step 4: Simplify right side
    116,205.88x = 10,456,863,934.30
  5. Step 5: Solve for x
    x = 10,456,863,934.30/116,205.88
  6. Step 6: Final answer
    x = 89,985.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.