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Finding the Fourth Proportional to 110,476.16, 152,411.64 and 76,961.60

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Solution

The fourth proportional to 110,476.16, 152,411.64 and 76,961.60 is: 106,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,476.16 : 152,411.64 = 76,961.60 : x
  2. Step 2: Convert to fraction form
    110,476.16/152,411.64 = 76,961.60/x
  3. Step 3: Cross multiply
    110,476.16x = 152,411.64 × 76,961.60
  4. Step 4: Simplify right side
    110,476.16x = 11,729,843,673.02
  5. Step 5: Solve for x
    x = 11,729,843,673.02/110,476.16
  6. Step 6: Final answer
    x = 106,175.34

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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.