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Finding the Fourth Proportional to 158,266.88, 237,458.64 and 83,384

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Solution

The fourth proportional to 158,266.88, 237,458.64 and 83,384 is: 125,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,266.88 : 237,458.64 = 83,384 : x
  2. Step 2: Convert to fraction form
    158,266.88/237,458.64 = 83,384/x
  3. Step 3: Cross multiply
    158,266.88x = 237,458.64 × 83,384
  4. Step 4: Simplify right side
    158,266.88x = 19,800,251,237.76
  5. Step 5: Solve for x
    x = 19,800,251,237.76/158,266.88
  6. Step 6: Final answer
    x = 125,106.73

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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.