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Finding the Fourth Proportional to 177,750.62, 245,296 and 97,176.86

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Solution

The fourth proportional to 177,750.62, 245,296 and 97,176.86 is: 134,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,750.62 : 245,296 = 97,176.86 : x
  2. Step 2: Convert to fraction form
    177,750.62/245,296 = 97,176.86/x
  3. Step 3: Cross multiply
    177,750.62x = 245,296 × 97,176.86
  4. Step 4: Simplify right side
    177,750.62x = 23,837,095,050.56
  5. Step 5: Solve for x
    x = 23,837,095,050.56/177,750.62
  6. Step 6: Final answer
    x = 134,104.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.