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Finding the Fourth Proportional to 106,671.88, 147,186.74 and 64,233.16

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Solution

The fourth proportional to 106,671.88, 147,186.74 and 64,233.16 is: 88,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,671.88 : 147,186.74 = 64,233.16 : x
  2. Step 2: Convert to fraction form
    106,671.88/147,186.74 = 64,233.16/x
  3. Step 3: Cross multiply
    106,671.88x = 147,186.74 × 64,233.16
  4. Step 4: Simplify right side
    106,671.88x = 9,454,269,420.30
  5. Step 5: Solve for x
    x = 9,454,269,420.30/106,671.88
  6. Step 6: Final answer
    x = 88,629.44

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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.