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Finding the Fourth Proportional to 96,405.66, 144,420.17 and 66,414.60

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Solution

The fourth proportional to 96,405.66, 144,420.17 and 66,414.60 is: 99,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,405.66 : 144,420.17 = 66,414.60 : x
  2. Step 2: Convert to fraction form
    96,405.66/144,420.17 = 66,414.60/x
  3. Step 3: Cross multiply
    96,405.66x = 144,420.17 × 66,414.60
  4. Step 4: Simplify right side
    96,405.66x = 9,591,607,490.41
  5. Step 5: Solve for x
    x = 9,591,607,490.41/96,405.66
  6. Step 6: Final answer
    x = 99,492.16

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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.