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Finding the Fourth Proportional to 186,190.84, 256,947.96 and 101,312.56

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Solution

The fourth proportional to 186,190.84, 256,947.96 and 101,312.56 is: 139,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,190.84 : 256,947.96 = 101,312.56 : x
  2. Step 2: Convert to fraction form
    186,190.84/256,947.96 = 101,312.56/x
  3. Step 3: Cross multiply
    186,190.84x = 256,947.96 × 101,312.56
  4. Step 4: Simplify right side
    186,190.84x = 26,032,055,614.38
  5. Step 5: Solve for x
    x = 26,032,055,614.38/186,190.84
  6. Step 6: Final answer
    x = 139,813.84

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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.