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Finding the Fourth Proportional to 158,564.84, 237,886.92 and 111,908.84

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Solution

The fourth proportional to 158,564.84, 237,886.92 and 111,908.84 is: 167,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,564.84 : 237,886.92 = 111,908.84 : x
  2. Step 2: Convert to fraction form
    158,564.84/237,886.92 = 111,908.84/x
  3. Step 3: Cross multiply
    158,564.84x = 237,886.92 × 111,908.84
  4. Step 4: Simplify right side
    158,564.84x = 26,621,649,268.37
  5. Step 5: Solve for x
    x = 26,621,649,268.37/158,564.84
  6. Step 6: Final answer
    x = 167,891.25

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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.