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Finding the Fourth Proportional to 186,047.43, 256,744.08 and 101,164.47

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Solution

The fourth proportional to 186,047.43, 256,744.08 and 101,164.47 is: 139,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,047.43 : 256,744.08 = 101,164.47 : x
  2. Step 2: Convert to fraction form
    186,047.43/256,744.08 = 101,164.47/x
  3. Step 3: Cross multiply
    186,047.43x = 256,744.08 × 101,164.47
  4. Step 4: Simplify right side
    186,047.43x = 25,973,378,778.84
  5. Step 5: Solve for x
    x = 25,973,378,778.84/186,047.43
  6. Step 6: Final answer
    x = 139,606.22

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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.