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Finding the Fourth Proportional to 189,046.39, 260,934.33 and 111,590.14

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Solution

The fourth proportional to 189,046.39, 260,934.33 and 111,590.14 is: 154,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,046.39 : 260,934.33 = 111,590.14 : x
  2. Step 2: Convert to fraction form
    189,046.39/260,934.33 = 111,590.14/x
  3. Step 3: Cross multiply
    189,046.39x = 260,934.33 × 111,590.14
  4. Step 4: Simplify right side
    189,046.39x = 29,117,698,415.51
  5. Step 5: Solve for x
    x = 29,117,698,415.51/189,046.39
  6. Step 6: Final answer
    x = 154,024.09

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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.