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Finding the Fourth Proportional to 185,611.82, 256,144.14 and 105,037.88

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Solution

The fourth proportional to 185,611.82, 256,144.14 and 105,037.88 is: 144,952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,611.82 : 256,144.14 = 105,037.88 : x
  2. Step 2: Convert to fraction form
    185,611.82/256,144.14 = 105,037.88/x
  3. Step 3: Cross multiply
    185,611.82x = 256,144.14 × 105,037.88
  4. Step 4: Simplify right side
    185,611.82x = 26,904,836,159.30
  5. Step 5: Solve for x
    x = 26,904,836,159.30/185,611.82
  6. Step 6: Final answer
    x = 144,952.17

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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.