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Finding the Fourth Proportional to 119,954.95, 179,932.65 and 31,208.31

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Solution

The fourth proportional to 119,954.95, 179,932.65 and 31,208.31 is: 46,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,954.95 : 179,932.65 = 31,208.31 : x
  2. Step 2: Convert to fraction form
    119,954.95/179,932.65 = 31,208.31/x
  3. Step 3: Cross multiply
    119,954.95x = 179,932.65 × 31,208.31
  4. Step 4: Simplify right side
    119,954.95x = 5,615,393,920.32
  5. Step 5: Solve for x
    x = 5,615,393,920.32/119,954.95
  6. Step 6: Final answer
    x = 46,812.52

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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.