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Finding the Fourth Proportional to 201,773.44, 278,444.80 and 116,898.40

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Solution

The fourth proportional to 201,773.44, 278,444.80 and 116,898.40 is: 161,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,773.44 : 278,444.80 = 116,898.40 : x
  2. Step 2: Convert to fraction form
    201,773.44/278,444.80 = 116,898.40/x
  3. Step 3: Cross multiply
    201,773.44x = 278,444.80 × 116,898.40
  4. Step 4: Simplify right side
    201,773.44x = 32,549,751,608.32
  5. Step 5: Solve for x
    x = 32,549,751,608.32/201,773.44
  6. Step 6: Final answer
    x = 161,318.32

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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.