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Finding the Fourth Proportional to 186,563.04, 257,449.50 and 101,678.28

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Solution

The fourth proportional to 186,563.04, 257,449.50 and 101,678.28 is: 140,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,563.04 : 257,449.50 = 101,678.28 : x
  2. Step 2: Convert to fraction form
    186,563.04/257,449.50 = 101,678.28/x
  3. Step 3: Cross multiply
    186,563.04x = 257,449.50 × 101,678.28
  4. Step 4: Simplify right side
    186,563.04x = 26,177,022,346.86
  5. Step 5: Solve for x
    x = 26,177,022,346.86/186,563.04
  6. Step 6: Final answer
    x = 140,311.94

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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.