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Finding the Fourth Proportional to 186,446.76, 257,296.14 and 101,563.62

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Solution

The fourth proportional to 186,446.76, 257,296.14 and 101,563.62 is: 140,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,446.76 : 257,296.14 = 101,563.62 : x
  2. Step 2: Convert to fraction form
    186,446.76/257,296.14 = 101,563.62/x
  3. Step 3: Cross multiply
    186,446.76x = 257,296.14 × 101,563.62
  4. Step 4: Simplify right side
    186,446.76x = 26,131,927,390.43
  5. Step 5: Solve for x
    x = 26,131,927,390.43/186,446.76
  6. Step 6: Final answer
    x = 140,157.58

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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.