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Finding the Fourth Proportional to 201,814.30, 302,721.45 and 83,424.70

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Solution

The fourth proportional to 201,814.30, 302,721.45 and 83,424.70 is: 125,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,814.30 : 302,721.45 = 83,424.70 : x
  2. Step 2: Convert to fraction form
    201,814.30/302,721.45 = 83,424.70/x
  3. Step 3: Cross multiply
    201,814.30x = 302,721.45 × 83,424.70
  4. Step 4: Simplify right side
    201,814.30x = 25,254,446,149.82
  5. Step 5: Solve for x
    x = 25,254,446,149.82/201,814.30
  6. Step 6: Final answer
    x = 125,137.05

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