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Finding the Fourth Proportional to 201,530.56, 278,107.68 and 116,645.92

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Solution

The fourth proportional to 201,530.56, 278,107.68 and 116,645.92 is: 160,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,530.56 : 278,107.68 = 116,645.92 : x
  2. Step 2: Convert to fraction form
    201,530.56/278,107.68 = 116,645.92/x
  3. Step 3: Cross multiply
    201,530.56x = 278,107.68 × 116,645.92
  4. Step 4: Simplify right side
    201,530.56x = 32,440,126,192.67
  5. Step 5: Solve for x
    x = 32,440,126,192.67/201,530.56
  6. Step 6: Final answer
    x = 160,968.77

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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.