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Finding the Fourth Proportional to 204,386.94, 282,051.27 and 114,962.94

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Solution

The fourth proportional to 204,386.94, 282,051.27 and 114,962.94 is: 158,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,386.94 : 282,051.27 = 114,962.94 : x
  2. Step 2: Convert to fraction form
    204,386.94/282,051.27 = 114,962.94/x
  3. Step 3: Cross multiply
    204,386.94x = 282,051.27 × 114,962.94
  4. Step 4: Simplify right side
    204,386.94x = 32,425,443,229.93
  5. Step 5: Solve for x
    x = 32,425,443,229.93/204,386.94
  6. Step 6: Final answer
    x = 158,647.33

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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.