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Finding the Fourth Proportional to 180,251.68, 270,413.52 and 55,588

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Solution

The fourth proportional to 180,251.68, 270,413.52 and 55,588 is: 83,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,251.68 : 270,413.52 = 55,588 : x
  2. Step 2: Convert to fraction form
    180,251.68/270,413.52 = 55,588/x
  3. Step 3: Cross multiply
    180,251.68x = 270,413.52 × 55,588
  4. Step 4: Simplify right side
    180,251.68x = 15,031,746,749.76
  5. Step 5: Solve for x
    x = 15,031,746,749.76/180,251.68
  6. Step 6: Final answer
    x = 83,393.10

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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.