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Finding the Fourth Proportional to 191,253, 263,929.14 and 111,765

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Solution

The fourth proportional to 191,253, 263,929.14 and 111,765 is: 154,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,253 : 263,929.14 = 111,765 : x
  2. Step 2: Convert to fraction form
    191,253/263,929.14 = 111,765/x
  3. Step 3: Cross multiply
    191,253x = 263,929.14 × 111,765
  4. Step 4: Simplify right side
    191,253x = 29,498,040,332.10
  5. Step 5: Solve for x
    x = 29,498,040,332.10/191,253
  6. Step 6: Final answer
    x = 154,235.70

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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.