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Finding the Fourth Proportional to 186,884.80, 257,893.80 and 102,001.86

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Solution

The fourth proportional to 186,884.80, 257,893.80 and 102,001.86 is: 140,758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,884.80 : 257,893.80 = 102,001.86 : x
  2. Step 2: Convert to fraction form
    186,884.80/257,893.80 = 102,001.86/x
  3. Step 3: Cross multiply
    186,884.80x = 257,893.80 × 102,001.86
  4. Step 4: Simplify right side
    186,884.80x = 26,305,647,282.47
  5. Step 5: Solve for x
    x = 26,305,647,282.47/186,884.80
  6. Step 6: Final answer
    x = 140,758.62

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1.5x scale

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.