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Finding the Fourth Proportional to 186,223.92, 256,994.37 and 101,346.36

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Solution

The fourth proportional to 186,223.92, 256,994.37 and 101,346.36 is: 139,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,223.92 : 256,994.37 = 101,346.36 : x
  2. Step 2: Convert to fraction form
    186,223.92/256,994.37 = 101,346.36/x
  3. Step 3: Cross multiply
    186,223.92x = 256,994.37 × 101,346.36
  4. Step 4: Simplify right side
    186,223.92x = 26,045,443,939.99
  5. Step 5: Solve for x
    x = 26,045,443,939.99/186,223.92
  6. Step 6: Final answer
    x = 139,860.89

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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.