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Finding the Fourth Proportional to 210,195.65, 315,291.40 and 96,311.18

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Solution

The fourth proportional to 210,195.65, 315,291.40 and 96,311.18 is: 144,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,195.65 : 315,291.40 = 96,311.18 : x
  2. Step 2: Convert to fraction form
    210,195.65/315,291.40 = 96,311.18/x
  3. Step 3: Cross multiply
    210,195.65x = 315,291.40 × 96,311.18
  4. Step 4: Simplify right side
    210,195.65x = 30,366,086,777.85
  5. Step 5: Solve for x
    x = 30,366,086,777.85/210,195.65
  6. Step 6: Final answer
    x = 144,465.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.