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Finding the Fourth Proportional to 204,659.93, 282,430.88 and 114,016.12

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Solution

The fourth proportional to 204,659.93, 282,430.88 and 114,016.12 is: 157,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,659.93 : 282,430.88 = 114,016.12 : x
  2. Step 2: Convert to fraction form
    204,659.93/282,430.88 = 114,016.12/x
  3. Step 3: Cross multiply
    204,659.93x = 282,430.88 × 114,016.12
  4. Step 4: Simplify right side
    204,659.93x = 32,201,674,487.20
  5. Step 5: Solve for x
    x = 32,201,674,487.20/204,659.93
  6. Step 6: Final answer
    x = 157,342.35

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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.