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Finding the Fourth Proportional to 118,098, 177,176.16 and 34,992

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Solution

The fourth proportional to 118,098, 177,176.16 and 34,992 is: 52,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,098 : 177,176.16 = 34,992 : x
  2. Step 2: Convert to fraction form
    118,098/177,176.16 = 34,992/x
  3. Step 3: Cross multiply
    118,098x = 177,176.16 × 34,992
  4. Step 4: Simplify right side
    118,098x = 6,199,748,190.72
  5. Step 5: Solve for x
    x = 6,199,748,190.72/118,098
  6. Step 6: Final answer
    x = 52,496.64

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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.