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Finding the Fourth Proportional to 201,808.02, 278,496.99 and 111,164.40

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Solution

The fourth proportional to 201,808.02, 278,496.99 and 111,164.40 is: 153,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,808.02 : 278,496.99 = 111,164.40 : x
  2. Step 2: Convert to fraction form
    201,808.02/278,496.99 = 111,164.40/x
  3. Step 3: Cross multiply
    201,808.02x = 278,496.99 × 111,164.40
  4. Step 4: Simplify right side
    201,808.02x = 30,958,950,795.16
  5. Step 5: Solve for x
    x = 30,958,950,795.16/201,808.02
  6. Step 6: Final answer
    x = 153,407.93

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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.