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Finding the Fourth Proportional to 201,116.51, 301,674.58 and 51,356.83

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Solution

The fourth proportional to 201,116.51, 301,674.58 and 51,356.83 is: 77,035.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,116.51 : 301,674.58 = 51,356.83 : x
  2. Step 2: Convert to fraction form
    201,116.51/301,674.58 = 51,356.83/x
  3. Step 3: Cross multiply
    201,116.51x = 301,674.58 × 51,356.83
  4. Step 4: Simplify right side
    201,116.51x = 15,493,048,355.22
  5. Step 5: Solve for x
    x = 15,493,048,355.22/201,116.51
  6. Step 6: Final answer
    x = 77,035.19

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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.