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Finding the Fourth Proportional to 186,563.85, 257,464.13 and 105,989.91

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Solution

The fourth proportional to 186,563.85, 257,464.13 and 105,989.91 is: 146,269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,563.85 : 257,464.13 = 105,989.91 : x
  2. Step 2: Convert to fraction form
    186,563.85/257,464.13 = 105,989.91/x
  3. Step 3: Cross multiply
    186,563.85x = 257,464.13 × 105,989.91
  4. Step 4: Simplify right side
    186,563.85x = 27,288,599,966.93
  5. Step 5: Solve for x
    x = 27,288,599,966.93/186,563.85
  6. Step 6: Final answer
    x = 146,269.49

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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.