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Finding the Fourth Proportional to 204,595.36, 282,321.36 and 150,909.28

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Solution

The fourth proportional to 204,595.36, 282,321.36 and 150,909.28 is: 208,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,595.36 : 282,321.36 = 150,909.28 : x
  2. Step 2: Convert to fraction form
    204,595.36/282,321.36 = 150,909.28/x
  3. Step 3: Cross multiply
    204,595.36x = 282,321.36 × 150,909.28
  4. Step 4: Simplify right side
    204,595.36x = 42,604,913,166.22
  5. Step 5: Solve for x
    x = 42,604,913,166.22/204,595.36
  6. Step 6: Final answer
    x = 208,239.88

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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.