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Finding the Fourth Proportional to 170,464.14, 255,696 and 45,805.14

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Solution

The fourth proportional to 170,464.14, 255,696 and 45,805.14 is: 68,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,464.14 : 255,696 = 45,805.14 : x
  2. Step 2: Convert to fraction form
    170,464.14/255,696 = 45,805.14/x
  3. Step 3: Cross multiply
    170,464.14x = 255,696 × 45,805.14
  4. Step 4: Simplify right side
    170,464.14x = 11,712,191,077.44
  5. Step 5: Solve for x
    x = 11,712,191,077.44/170,464.14
  6. Step 6: Final answer
    x = 68,707.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.