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Finding the Fourth Proportional to 109,476.12, 151,076.82 and 59,175

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Solution

The fourth proportional to 109,476.12, 151,076.82 and 59,175 is: 81,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,476.12 : 151,076.82 = 59,175 : x
  2. Step 2: Convert to fraction form
    109,476.12/151,076.82 = 59,175/x
  3. Step 3: Cross multiply
    109,476.12x = 151,076.82 × 59,175
  4. Step 4: Simplify right side
    109,476.12x = 8,939,970,823.50
  5. Step 5: Solve for x
    x = 8,939,970,823.50/109,476.12
  6. Step 6: Final answer
    x = 81,661.38

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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.