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Finding the Fourth Proportional to 96,578.71, 144,838.59 and 66,784.48

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Solution

The fourth proportional to 96,578.71, 144,838.59 and 66,784.48 is: 100,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,578.71 : 144,838.59 = 66,784.48 : x
  2. Step 2: Convert to fraction form
    96,578.71/144,838.59 = 66,784.48/x
  3. Step 3: Cross multiply
    96,578.71x = 144,838.59 × 66,784.48
  4. Step 4: Simplify right side
    96,578.71x = 9,672,969,917.08
  5. Step 5: Solve for x
    x = 9,672,969,917.08/96,578.71
  6. Step 6: Final answer
    x = 100,156.34

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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.