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Finding the Fourth Proportional to 185,588.45, 256,112.75 and 100,705.52

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Solution

The fourth proportional to 185,588.45, 256,112.75 and 100,705.52 is: 138,973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,588.45 : 256,112.75 = 100,705.52 : x
  2. Step 2: Convert to fraction form
    185,588.45/256,112.75 = 100,705.52/x
  3. Step 3: Cross multiply
    185,588.45x = 256,112.75 × 100,705.52
  4. Step 4: Simplify right side
    185,588.45x = 25,791,967,667.38
  5. Step 5: Solve for x
    x = 25,791,967,667.38/185,588.45
  6. Step 6: Final answer
    x = 138,973.99

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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.