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Finding the Fourth Proportional to 201,182.13, 301,693.92 and 73,068.13

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Solution

The fourth proportional to 201,182.13, 301,693.92 and 73,068.13 is: 109,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,182.13 : 301,693.92 = 73,068.13 : x
  2. Step 2: Convert to fraction form
    201,182.13/301,693.92 = 73,068.13/x
  3. Step 3: Cross multiply
    201,182.13x = 301,693.92 × 73,068.13
  4. Step 4: Simplify right side
    201,182.13x = 22,044,208,972.85
  5. Step 5: Solve for x
    x = 22,044,208,972.85/201,182.13
  6. Step 6: Final answer
    x = 109,573.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.