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Finding the Fourth Proportional to 176,944.36, 265,416.56 and 52,275.64

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Solution

The fourth proportional to 176,944.36, 265,416.56 and 52,275.64 is: 78,413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,944.36 : 265,416.56 = 52,275.64 : x
  2. Step 2: Convert to fraction form
    176,944.36/265,416.56 = 52,275.64/x
  3. Step 3: Cross multiply
    176,944.36x = 265,416.56 × 52,275.64
  4. Step 4: Simplify right side
    176,944.36x = 13,874,820,540.60
  5. Step 5: Solve for x
    x = 13,874,820,540.60/176,944.36
  6. Step 6: Final answer
    x = 78,413.47

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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.