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Finding the Fourth Proportional to 132,855.94, 183,237.42 and 85,113.82

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Solution

The fourth proportional to 132,855.94, 183,237.42 and 85,113.82 is: 117,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,855.94 : 183,237.42 = 85,113.82 : x
  2. Step 2: Convert to fraction form
    132,855.94/183,237.42 = 85,113.82/x
  3. Step 3: Cross multiply
    132,855.94x = 183,237.42 × 85,113.82
  4. Step 4: Simplify right side
    132,855.94x = 15,596,036,783.14
  5. Step 5: Solve for x
    x = 15,596,036,783.14/132,855.94
  6. Step 6: Final answer
    x = 117,390.59

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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.