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Finding the Fourth Proportional to 208,842.01, 288,202.25 and 113,348.72

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Solution

The fourth proportional to 208,842.01, 288,202.25 and 113,348.72 is: 156,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,842.01 : 288,202.25 = 113,348.72 : x
  2. Step 2: Convert to fraction form
    208,842.01/288,202.25 = 113,348.72/x
  3. Step 3: Cross multiply
    208,842.01x = 288,202.25 × 113,348.72
  4. Step 4: Simplify right side
    208,842.01x = 32,667,354,130.87
  5. Step 5: Solve for x
    x = 32,667,354,130.87/208,842.01
  6. Step 6: Final answer
    x = 156,421.38

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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.