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Finding the Fourth Proportional to 112,138.14, 154,751.79 and 61,838.94

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Solution

The fourth proportional to 112,138.14, 154,751.79 and 61,838.94 is: 85,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,138.14 : 154,751.79 = 61,838.94 : x
  2. Step 2: Convert to fraction form
    112,138.14/154,751.79 = 61,838.94/x
  3. Step 3: Cross multiply
    112,138.14x = 154,751.79 × 61,838.94
  4. Step 4: Simplify right side
    112,138.14x = 9,569,686,656.70
  5. Step 5: Solve for x
    x = 9,569,686,656.70/112,138.14
  6. Step 6: Final answer
    x = 85,338.38

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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.