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Finding the Fourth Proportional to 186,836.63, 257,840.01 and 101,959.16

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Solution

The fourth proportional to 186,836.63, 257,840.01 and 101,959.16 is: 140,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,836.63 : 257,840.01 = 101,959.16 : x
  2. Step 2: Convert to fraction form
    186,836.63/257,840.01 = 101,959.16/x
  3. Step 3: Cross multiply
    186,836.63x = 257,840.01 × 101,959.16
  4. Step 4: Simplify right side
    186,836.63x = 26,289,149,544.79
  5. Step 5: Solve for x
    x = 26,289,149,544.79/186,836.63
  6. Step 6: Final answer
    x = 140,706.62

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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.