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Finding the Fourth Proportional to 170,298.56, 255,185.04 and 107,837.84

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Solution

The fourth proportional to 170,298.56, 255,185.04 and 107,837.84 is: 161,590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,298.56 : 255,185.04 = 107,837.84 : x
  2. Step 2: Convert to fraction form
    170,298.56/255,185.04 = 107,837.84/x
  3. Step 3: Cross multiply
    170,298.56x = 255,185.04 × 107,837.84
  4. Step 4: Simplify right side
    170,298.56x = 27,518,603,513.91
  5. Step 5: Solve for x
    x = 27,518,603,513.91/170,298.56
  6. Step 6: Final answer
    x = 161,590.35

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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.