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Finding the Fourth Proportional to 186,458.95, 279,932.33 and 110,695.80

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Solution

The fourth proportional to 186,458.95, 279,932.33 and 110,695.80 is: 166,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,458.95 : 279,932.33 = 110,695.80 : x
  2. Step 2: Convert to fraction form
    186,458.95/279,932.33 = 110,695.80/x
  3. Step 3: Cross multiply
    186,458.95x = 279,932.33 × 110,695.80
  4. Step 4: Simplify right side
    186,458.95x = 30,987,333,215.21
  5. Step 5: Solve for x
    x = 30,987,333,215.21/186,458.95
  6. Step 6: Final answer
    x = 166,188.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.