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Finding the Fourth Proportional to 186,533.88, 257,422.22 and 101,656.41

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Solution

The fourth proportional to 186,533.88, 257,422.22 and 101,656.41 is: 140,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,533.88 : 257,422.22 = 101,656.41 : x
  2. Step 2: Convert to fraction form
    186,533.88/257,422.22 = 101,656.41/x
  3. Step 3: Cross multiply
    186,533.88x = 257,422.22 × 101,656.41
  4. Step 4: Simplify right side
    186,533.88x = 26,168,618,739.43
  5. Step 5: Solve for x
    x = 26,168,618,739.43/186,533.88
  6. Step 6: Final answer
    x = 140,288.82

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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.