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Finding the Fourth Proportional to 111,475.14, 153,828.12 and 61,177.38

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Solution

The fourth proportional to 111,475.14, 153,828.12 and 61,177.38 is: 84,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,475.14 : 153,828.12 = 61,177.38 : x
  2. Step 2: Convert to fraction form
    111,475.14/153,828.12 = 61,177.38/x
  3. Step 3: Cross multiply
    111,475.14x = 153,828.12 × 61,177.38
  4. Step 4: Simplify right side
    111,475.14x = 9,410,801,351.93
  5. Step 5: Solve for x
    x = 9,410,801,351.93/111,475.14
  6. Step 6: Final answer
    x = 84,420.63

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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.