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Finding the Fourth Proportional to 186,846.64, 257,853.84 and 101,969.16

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Solution

The fourth proportional to 186,846.64, 257,853.84 and 101,969.16 is: 140,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,846.64 : 257,853.84 = 101,969.16 : x
  2. Step 2: Convert to fraction form
    186,846.64/257,853.84 = 101,969.16/x
  3. Step 3: Cross multiply
    186,846.64x = 257,853.84 × 101,969.16
  4. Step 4: Simplify right side
    186,846.64x = 26,293,139,467.57
  5. Step 5: Solve for x
    x = 26,293,139,467.57/186,846.64
  6. Step 6: Final answer
    x = 140,720.43

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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.