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Finding the Fourth Proportional to 186,446.57, 257,294.93 and 101,563.65

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Solution

The fourth proportional to 186,446.57, 257,294.93 and 101,563.65 is: 140,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,446.57 : 257,294.93 = 101,563.65 : x
  2. Step 2: Convert to fraction form
    186,446.57/257,294.93 = 101,563.65/x
  3. Step 3: Cross multiply
    186,446.57x = 257,294.93 × 101,563.65
  4. Step 4: Simplify right side
    186,446.57x = 26,131,811,709.48
  5. Step 5: Solve for x
    x = 26,131,811,709.48/186,446.57
  6. Step 6: Final answer
    x = 140,157.11

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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.