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Finding the Fourth Proportional to 204,659.16, 282,420.52 and 114,012.87

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Solution

The fourth proportional to 204,659.16, 282,420.52 and 114,012.87 is: 157,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,659.16 : 282,420.52 = 114,012.87 : x
  2. Step 2: Convert to fraction form
    204,659.16/282,420.52 = 114,012.87/x
  3. Step 3: Cross multiply
    204,659.16x = 282,420.52 × 114,012.87
  4. Step 4: Simplify right side
    204,659.16x = 32,199,573,329.31
  5. Step 5: Solve for x
    x = 32,199,573,329.31/204,659.16
  6. Step 6: Final answer
    x = 157,332.68

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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.