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Finding the Fourth Proportional to 185,653.13, 256,180 and 103,969.98

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Solution

The fourth proportional to 185,653.13, 256,180 and 103,969.98 is: 143,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,653.13 : 256,180 = 103,969.98 : x
  2. Step 2: Convert to fraction form
    185,653.13/256,180 = 103,969.98/x
  3. Step 3: Cross multiply
    185,653.13x = 256,180 × 103,969.98
  4. Step 4: Simplify right side
    185,653.13x = 26,635,029,476.40
  5. Step 5: Solve for x
    x = 26,635,029,476.40/185,653.13
  6. Step 6: Final answer
    x = 143,466.63

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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.