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Finding the Fourth Proportional to 111,472.14, 153,823.98 and 61,174.38

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Solution

The fourth proportional to 111,472.14, 153,823.98 and 61,174.38 is: 84,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,472.14 : 153,823.98 = 61,174.38 : x
  2. Step 2: Convert to fraction form
    111,472.14/153,823.98 = 61,174.38/x
  3. Step 3: Cross multiply
    111,472.14x = 153,823.98 × 61,174.38
  4. Step 4: Simplify right side
    111,472.14x = 9,410,086,605.63
  5. Step 5: Solve for x
    x = 9,410,086,605.63/111,472.14
  6. Step 6: Final answer
    x = 84,416.49

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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.