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Finding the Fourth Proportional to 223,096, 307,874.64 and 122,496.16

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Solution

The fourth proportional to 223,096, 307,874.64 and 122,496.16 is: 169,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,096 : 307,874.64 = 122,496.16 : x
  2. Step 2: Convert to fraction form
    223,096/307,874.64 = 122,496.16/x
  3. Step 3: Cross multiply
    223,096x = 307,874.64 × 122,496.16
  4. Step 4: Simplify right side
    223,096x = 37,713,461,161.38
  5. Step 5: Solve for x
    x = 37,713,461,161.38/223,096
  6. Step 6: Final answer
    x = 169,045.89

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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.