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Finding the Fourth Proportional to 132,838.82, 183,310.88 and 75,470.63

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Solution

The fourth proportional to 132,838.82, 183,310.88 and 75,470.63 is: 104,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,838.82 : 183,310.88 = 75,470.63 : x
  2. Step 2: Convert to fraction form
    132,838.82/183,310.88 = 75,470.63/x
  3. Step 3: Cross multiply
    132,838.82x = 183,310.88 × 75,470.63
  4. Step 4: Simplify right side
    132,838.82x = 13,834,586,305.55
  5. Step 5: Solve for x
    x = 13,834,586,305.55/132,838.82
  6. Step 6: Final answer
    x = 104,145.66

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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.