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Finding the Fourth Proportional to 180,035.92, 270,058.20 and 55,378

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Solution

The fourth proportional to 180,035.92, 270,058.20 and 55,378 is: 83,068.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,035.92 : 270,058.20 = 55,378 : x
  2. Step 2: Convert to fraction form
    180,035.92/270,058.20 = 55,378/x
  3. Step 3: Cross multiply
    180,035.92x = 270,058.20 × 55,378
  4. Step 4: Simplify right side
    180,035.92x = 14,955,282,999.60
  5. Step 5: Solve for x
    x = 14,955,282,999.60/180,035.92
  6. Step 6: Final answer
    x = 83,068.33

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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.