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Finding the Fourth Proportional to 186,729.72, 257,686.86 and 101,846.52

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Solution

The fourth proportional to 186,729.72, 257,686.86 and 101,846.52 is: 140,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,729.72 : 257,686.86 = 101,846.52 : x
  2. Step 2: Convert to fraction form
    186,729.72/257,686.86 = 101,846.52/x
  3. Step 3: Cross multiply
    186,729.72x = 257,686.86 × 101,846.52
  4. Step 4: Simplify right side
    186,729.72x = 26,244,509,940.73
  5. Step 5: Solve for x
    x = 26,244,509,940.73/186,729.72
  6. Step 6: Final answer
    x = 140,548.11

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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.