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Finding the Fourth Proportional to 158,782.14, 219,118.47 and 87,163.38

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Solution

The fourth proportional to 158,782.14, 219,118.47 and 87,163.38 is: 120,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,782.14 : 219,118.47 = 87,163.38 : x
  2. Step 2: Convert to fraction form
    158,782.14/219,118.47 = 87,163.38/x
  3. Step 3: Cross multiply
    158,782.14x = 219,118.47 × 87,163.38
  4. Step 4: Simplify right side
    158,782.14x = 19,099,106,465.63
  5. Step 5: Solve for x
    x = 19,099,106,465.63/158,782.14
  6. Step 6: Final answer
    x = 120,284.98

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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.