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Finding the Fourth Proportional to 186,193.50, 256,944.87 and 101,309.10

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Solution

The fourth proportional to 186,193.50, 256,944.87 and 101,309.10 is: 139,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,193.50 : 256,944.87 = 101,309.10 : x
  2. Step 2: Convert to fraction form
    186,193.50/256,944.87 = 101,309.10/x
  3. Step 3: Cross multiply
    186,193.50x = 256,944.87 × 101,309.10
  4. Step 4: Simplify right side
    186,193.50x = 26,030,853,529.32
  5. Step 5: Solve for x
    x = 26,030,853,529.32/186,193.50
  6. Step 6: Final answer
    x = 139,805.38

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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.