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Finding the Fourth Proportional to 180,985.82, 270,009.17 and 171,188.06

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Solution

The fourth proportional to 180,985.82, 270,009.17 and 171,188.06 is: 255,392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,985.82 : 270,009.17 = 171,188.06 : x
  2. Step 2: Convert to fraction form
    180,985.82/270,009.17 = 171,188.06/x
  3. Step 3: Cross multiply
    180,985.82x = 270,009.17 × 171,188.06
  4. Step 4: Simplify right side
    180,985.82x = 46,222,344,430.48
  5. Step 5: Solve for x
    x = 46,222,344,430.48/180,985.82
  6. Step 6: Final answer
    x = 255,392.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.