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Finding the Fourth Proportional to 204,967.23, 282,855.16 and 114,329.06

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Solution

The fourth proportional to 204,967.23, 282,855.16 and 114,329.06 is: 157,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,967.23 : 282,855.16 = 114,329.06 : x
  2. Step 2: Convert to fraction form
    204,967.23/282,855.16 = 114,329.06/x
  3. Step 3: Cross multiply
    204,967.23x = 282,855.16 × 114,329.06
  4. Step 4: Simplify right side
    204,967.23x = 32,338,564,558.95
  5. Step 5: Solve for x
    x = 32,338,564,558.95/204,967.23
  6. Step 6: Final answer
    x = 157,774.32

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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.