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Finding the Fourth Proportional to 186,879.80, 257,894.55 and 102,002.30

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Solution

The fourth proportional to 186,879.80, 257,894.55 and 102,002.30 is: 140,763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,879.80 : 257,894.55 = 102,002.30 : x
  2. Step 2: Convert to fraction form
    186,879.80/257,894.55 = 102,002.30/x
  3. Step 3: Cross multiply
    186,879.80x = 257,894.55 × 102,002.30
  4. Step 4: Simplify right side
    186,879.80x = 26,305,837,257.47
  5. Step 5: Solve for x
    x = 26,305,837,257.47/186,879.80
  6. Step 6: Final answer
    x = 140,763.41

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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.