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Finding the Fourth Proportional to 204,502.50, 282,140.40 and 118,414.50

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Solution

The fourth proportional to 204,502.50, 282,140.40 and 118,414.50 is: 163,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,502.50 : 282,140.40 = 118,414.50 : x
  2. Step 2: Convert to fraction form
    204,502.50/282,140.40 = 118,414.50/x
  3. Step 3: Cross multiply
    204,502.50x = 282,140.40 × 118,414.50
  4. Step 4: Simplify right side
    204,502.50x = 33,409,514,395.80
  5. Step 5: Solve for x
    x = 33,409,514,395.80/204,502.50
  6. Step 6: Final answer
    x = 163,369.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.