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Finding the Fourth Proportional to 95,415.71, 142,902.09 and 92,094.30

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Solution

The fourth proportional to 95,415.71, 142,902.09 and 92,094.30 is: 137,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,415.71 : 142,902.09 = 92,094.30 : x
  2. Step 2: Convert to fraction form
    95,415.71/142,902.09 = 92,094.30/x
  3. Step 3: Cross multiply
    95,415.71x = 142,902.09 × 92,094.30
  4. Step 4: Simplify right side
    95,415.71x = 13,160,467,947.09
  5. Step 5: Solve for x
    x = 13,160,467,947.09/95,415.71
  6. Step 6: Final answer
    x = 137,927.69

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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.