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Finding the Fourth Proportional to 111,586, 153,989.76 and 61,286.08

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Solution

The fourth proportional to 111,586, 153,989.76 and 61,286.08 is: 84,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,586 : 153,989.76 = 61,286.08 : x
  2. Step 2: Convert to fraction form
    111,586/153,989.76 = 61,286.08/x
  3. Step 3: Cross multiply
    111,586x = 153,989.76 × 61,286.08
  4. Step 4: Simplify right side
    111,586x = 9,437,428,750.54
  5. Step 5: Solve for x
    x = 9,437,428,750.54/111,586
  6. Step 6: Final answer
    x = 84,575.38

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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.