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Finding the Fourth Proportional to 158,884.81, 238,326.84 and 99,761.96

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Solution

The fourth proportional to 158,884.81, 238,326.84 and 99,761.96 is: 149,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,884.81 : 238,326.84 = 99,761.96 : x
  2. Step 2: Convert to fraction form
    158,884.81/238,326.84 = 99,761.96/x
  3. Step 3: Cross multiply
    158,884.81x = 238,326.84 × 99,761.96
  4. Step 4: Simplify right side
    158,884.81x = 23,775,953,274.82
  5. Step 5: Solve for x
    x = 23,775,953,274.82/158,884.81
  6. Step 6: Final answer
    x = 149,642.71

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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.