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Finding the Fourth Proportional to 186,357.38, 257,165.16 and 105,783.44

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Solution

The fourth proportional to 186,357.38, 257,165.16 and 105,783.44 is: 145,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,357.38 : 257,165.16 = 105,783.44 : x
  2. Step 2: Convert to fraction form
    186,357.38/257,165.16 = 105,783.44/x
  3. Step 3: Cross multiply
    186,357.38x = 257,165.16 × 105,783.44
  4. Step 4: Simplify right side
    186,357.38x = 27,203,815,272.95
  5. Step 5: Solve for x
    x = 27,203,815,272.95/186,357.38
  6. Step 6: Final answer
    x = 145,976.59

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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.