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Finding the Fourth Proportional to 111,933.91, 154,479.69 and 83,590.39

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Solution

The fourth proportional to 111,933.91, 154,479.69 and 83,590.39 is: 115,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,933.91 : 154,479.69 = 83,590.39 : x
  2. Step 2: Convert to fraction form
    111,933.91/154,479.69 = 83,590.39/x
  3. Step 3: Cross multiply
    111,933.91x = 154,479.69 × 83,590.39
  4. Step 4: Simplify right side
    111,933.91x = 12,913,017,534.18
  5. Step 5: Solve for x
    x = 12,913,017,534.18/111,933.91
  6. Step 6: Final answer
    x = 115,362.87

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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.