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Finding the Fourth Proportional to 217,814.80, 325,847.40 and 188,557.60

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Solution

The fourth proportional to 217,814.80, 325,847.40 and 188,557.60 is: 282,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,814.80 : 325,847.40 = 188,557.60 : x
  2. Step 2: Convert to fraction form
    217,814.80/325,847.40 = 188,557.60/x
  3. Step 3: Cross multiply
    217,814.80x = 325,847.40 × 188,557.60
  4. Step 4: Simplify right side
    217,814.80x = 61,441,003,710.24
  5. Step 5: Solve for x
    x = 61,441,003,710.24/217,814.80
  6. Step 6: Final answer
    x = 282,079.10

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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.