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Finding the Fourth Proportional to 177,617.86, 245,109.78 and 97,043.65

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Solution

The fourth proportional to 177,617.86, 245,109.78 and 97,043.65 is: 133,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,617.86 : 245,109.78 = 97,043.65 : x
  2. Step 2: Convert to fraction form
    177,617.86/245,109.78 = 97,043.65/x
  3. Step 3: Cross multiply
    177,617.86x = 245,109.78 × 97,043.65
  4. Step 4: Simplify right side
    177,617.86x = 23,786,347,701.90
  5. Step 5: Solve for x
    x = 23,786,347,701.90/177,617.86
  6. Step 6: Final answer
    x = 133,918.67

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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.