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Finding the Fourth Proportional to 185,593.06, 256,114.87 and 105,019.12

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Solution

The fourth proportional to 185,593.06, 256,114.87 and 105,019.12 is: 144,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,593.06 : 256,114.87 = 105,019.12 : x
  2. Step 2: Convert to fraction form
    185,593.06/256,114.87 = 105,019.12/x
  3. Step 3: Cross multiply
    185,593.06x = 256,114.87 × 105,019.12
  4. Step 4: Simplify right side
    185,593.06x = 26,896,958,266.31
  5. Step 5: Solve for x
    x = 26,896,958,266.31/185,593.06
  6. Step 6: Final answer
    x = 144,924.38

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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.