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Finding the Fourth Proportional to 132,905.84, 183,414.48 and 72,479.78

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Solution

The fourth proportional to 132,905.84, 183,414.48 and 72,479.78 is: 100,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,905.84 : 183,414.48 = 72,479.78 : x
  2. Step 2: Convert to fraction form
    132,905.84/183,414.48 = 72,479.78/x
  3. Step 3: Cross multiply
    132,905.84x = 183,414.48 × 72,479.78
  4. Step 4: Simplify right side
    132,905.84x = 13,293,840,242.14
  5. Step 5: Solve for x
    x = 13,293,840,242.14/132,905.84
  6. Step 6: Final answer
    x = 100,024.50

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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.