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Finding the Fourth Proportional to 201,969.36, 278,705.14 and 111,326.04

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Solution

The fourth proportional to 201,969.36, 278,705.14 and 111,326.04 is: 153,623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,969.36 : 278,705.14 = 111,326.04 : x
  2. Step 2: Convert to fraction form
    201,969.36/278,705.14 = 111,326.04/x
  3. Step 3: Cross multiply
    201,969.36x = 278,705.14 × 111,326.04
  4. Step 4: Simplify right side
    201,969.36x = 31,027,139,285.53
  5. Step 5: Solve for x
    x = 31,027,139,285.53/201,969.36
  6. Step 6: Final answer
    x = 153,623.00

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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.