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Finding the Fourth Proportional to 169,198.35, 233,518.59 and 97,564.38

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Solution

The fourth proportional to 169,198.35, 233,518.59 and 97,564.38 is: 134,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,198.35 : 233,518.59 = 97,564.38 : x
  2. Step 2: Convert to fraction form
    169,198.35/233,518.59 = 97,564.38/x
  3. Step 3: Cross multiply
    169,198.35x = 233,518.59 × 97,564.38
  4. Step 4: Simplify right side
    169,198.35x = 22,783,096,451.82
  5. Step 5: Solve for x
    x = 22,783,096,451.82/169,198.35
  6. Step 6: Final answer
    x = 134,653.18

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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.