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Finding the Fourth Proportional to 201,016.14, 301,130.05 and 116,598.96

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Solution

The fourth proportional to 201,016.14, 301,130.05 and 116,598.96 is: 174,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,016.14 : 301,130.05 = 116,598.96 : x
  2. Step 2: Convert to fraction form
    201,016.14/301,130.05 = 116,598.96/x
  3. Step 3: Cross multiply
    201,016.14x = 301,130.05 × 116,598.96
  4. Step 4: Simplify right side
    201,016.14x = 35,111,448,857.60
  5. Step 5: Solve for x
    x = 35,111,448,857.60/201,016.14
  6. Step 6: Final answer
    x = 174,669.80

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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.