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Finding the Fourth Proportional to 178,169.92, 245,865.75 and 97,597.81

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Solution

The fourth proportional to 178,169.92, 245,865.75 and 97,597.81 is: 134,680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,169.92 : 245,865.75 = 97,597.81 : x
  2. Step 2: Convert to fraction form
    178,169.92/245,865.75 = 97,597.81/x
  3. Step 3: Cross multiply
    178,169.92x = 245,865.75 × 97,597.81
  4. Step 4: Simplify right side
    178,169.92x = 23,995,958,754.01
  5. Step 5: Solve for x
    x = 23,995,958,754.01/178,169.92
  6. Step 6: Final answer
    x = 134,680.19

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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.